Research activity covers the areas of
mechanics of the deformable solids, acoustics and heat and mass transfer.
Coauthor of monograph "Scattering of the sound beams from the elastic
bodies of spherical and cylindrical forms", Kyiv: Naukova Dumka, 1986.
His scientific contribution consisted of over 160 articles in profiled
journals, collections of works and conference materials. The main scientific
results are following:
 Investigation of the stressstrain state of the elastic bodies
with cracks and thinwalled inclusions under axisymmetric torsion;
 Mathematical modelling of the action of the parametric antenna of
the difference frequency in the nonlinear elastic Murnaghan's material;
 Investigations of scattering of the bounded acoustic beams on the
elastic obstacles of the spherical and cylindrical forms in the liquid
or solid medium;
 Analysis of resonance and transition acoustic characteristics of
the hollow circular elastic cylinder rotated in a liquid with a
nonconstant angular velocity;
 Mathematical description of temperature lag in the temperature
pyrolysis of the finite cylindrical body;
 Mathematical modelling of sound radiation from
moved cars, trains and aircrafts;
 Analysis of spectral and pulse characteristics
of sound waves scattered from cracked cylindrical elastic shell.
He lectured on the elastic bodies
torsion theory, the integral transforms in elasticity and acoustics, the
surface acoustic waves (Lviv State University), the basic of optical
schemotechnics, the design of opticomechanical devices, the basics of
scientific researchs, the basics of measurement theory (Technical University
of Lviv), the reliability and safety, the heat and mass transfer inverse
problems, the informatics – Mathcad, the noise and vibration protection, the geographical information
systems, the ventilation and air conditioning; the legal
and procedural standards in process industry, the heat pumps and energy storage (Technical University of Lodz).
Supervisor of 7 PhD and scientific consultant of 1 DSc.
Member of editorial board of journal "Mathematical Methods and
Physicomechanical Filds" (Lviv) (from 1993) and Archeographical
Commission of Shevchenko Scientific Society in Lviv (from 1996).
Hobbies: scientific bibliography, archeography and local history.
Author of the several works from the history of Ukraine.
Speaks Russian, Polish and some English.
List of Publications
 Grylitzkyj D.V., Gabrusev V.G., Piddubniak O.P. Certain cases of
axisymmetrical problem of thermoelasticity for a transversely isotropic
layer.  Visnyk of the Lviv University. Ser. MechanicoMathematical,
1971, No.6, 103112, bibl. 10. (In Ukrainian).
 Piddubniak O.P. Torsion of an elastic layer contained a circular
slit.  Visnyk of the Lviv University. Ser.
MechanicoMathematical, 1974, No. 9, 6974, bibl. 10. (In Ukrainian).
 Piddubniak O.P. Certain problems of torsion of elastic
partialhomogeneous bodies / Theses of Candidate Dissertation of
PhysicoMathematical Sciences; Lviv University.  Lviv, 1975. 16 p. (In Russian).
 Grylitzkyj D.V., Piddubniak O.P. Torsion of twolayered elastic
medium with a plane slit or a rigid inclusion.  Izvestiya of the USSR
Academy of Sciences. Mechanics of Solids
(Moscow), 1975, No. 1, 8594, bibl. 18. (In Russian).
 Piddubniak O.P., Grylitzkyj D.V. Joint torsion of a circular
hollow cylinder and halfspace in nontotal contact.  Visnyk of the
Lviv University. Ser. MechanicoMathematical, 1975, No. 10, 7175, bibl.
7. (In Ukrainian).
 Grylitzkyj D.V., Piddubniak O.P. Joint torsion of a circular
hollow cylinder and a halfspace.  Applied Mechanics (Kyiv), 1975, Vol.
11, No. 11, 916, bibl. 13. (In Russian).
 Porokhovskyj V.V., Piddubniak O.P. Torsion of twolayered elastic
packet by a rigid inclusion.  Visnyk of the Lviv University. Ser. MechanicoMathematical, 1976, No. 11, 9298, bibl. 5. (In
Ukrainian).
 Grylitzkyj D.V., Piddubniak O.P. Torsion of a hollow circular
cylinder jointed with twolayered elastic medium.  Izvestiya of the
USSR Academy of Sciences. Mechanics of
Solids (Moscow), 1977, No. 2, 6070, bibl. 29. (In Russian).
 Grylitzkyj D.V., Piddubniak O.P. Mixed problem of torsion of an
elastic body with a slit.  Visnyk of the Lviv University. Ser. MechanicoMathematical, 1977, No. 12, 8590, bibl. 5. (In
Ukrainian).
 Grylitzkyj D.V., Yevtushenko A.A., Piddubniak O.P., Sulym G.T.
Stress concentration near thinwalled elastic inclusion.  In: Mixed
Problems of Mechanics of Deformable Solids: AllUnion Science
Conference: Theses of Proceedings. Part 2 (RostovonDon, 2123 Sept.,
1977). RostovonDon, 1977, 1920. (In Russian).
 Piddubniak O.P. Scattering of a directive sound pulse on an
elastic sphere.  In: Materials of the 5th Conference of Young Scientists
of Lviv's Branch of Mathematical Physics of Institute of Mathematics,
UkrSSR Academy of Sciences. Section of Mechanics of Deformable Solids.
Lviv, 1978. Deposited in VINITI 12.12.1978, No. 37878, 9093. (In Russian).
 Piddubniak O.P. Torsion of an elastic medium with an elastic
washer.  Applied Mechanics (Kyiv), 1978, Vol. 14, No. 11, 119123,
bibl. 5. (In Russian).
 Piddubniak O.P., Pidstryhach Ya.S., Grylitzkyj D.V. The problem
of hydroacoustics for an elastic body of rotation.  Mathematical Methods
and Physicomechanical Fields (Kyiv), 1978, No. 7, 36, bibl. 4. (In Russian).
 Pidstryhach Ya.S., Piddubniak O.P., Grylitzkyj D.V. Diffraction
of a sharpended sound pulse on an acoustically soft sphere. 
Proceedings of the UkrSSR Academy of Sciences, 1978, Ser. A, No. 3, 240243, bibl. 5. (In Ukrainian and Russian).
 Piddubniak O.P., Lopat'ev A.A. Inverse problem of determination
of a perturbing source in a generalized thermoelastic medium.  In:
Tradition and New Equatios of Seismology and Seismostabilized Bulding:
AllUnion Conference of Yuang Scientists: Theses of Proceedings. Dyushanbe, 1978, 132134. (In Russian).
 Piddubniak O.P. Scattering of a finite sound beam on an
acoustically soft cylinder. Acoustical
Journal (Moscow), 1979, Vol. 25, No. 1, 108112, bibl. 4. (In Russian).
 Piddubniak O.P. On one way of geometrical waves determination in
acoustical wave scattering on an elastic circular cylinder.  In:
Materials of the 6th Conference of Young Scientists of Institune for
Applied Problems of Mechanics and Mathematics, UkrSSR Academy of
Sciences. Section of Mechanics of Deformable Solids. 1978. Lviv, 1979.
Deponed in VINITI 13.11.1979. No. 385179,
6467, bibl. 3. (In Russian).
 Piddubniak O.P. Echosignal from an elastic sphere in action of a
sharpended sound pulse.  Mathematical Methods and Physicomechanical
Fields (Kyiv), 1979, No. 9, 9295, bibl. 4. (In Russian).
 Pidstryhach Ya.S., Piddubniak O.P., Pyr'ev Ju.O., Porokhovskyj V.V.,
Dzyubachyk M.I. Nonstationary interaction of sound pulses with the
elastic spherical objects.  In: AllUnion Conference on Elasticity
Theory: Theses of Proceedings. Yerevan, 1316
Nov., 1979. Yerevan, 1979, 280282, bibl. 5. (In Russian).
 Pidstryhach Ya.S., Piddubniak O.P., Tychonenko V.V. Radiation of
acoustical pressure wave by a linear source of an explosion in an
infinite medium.  Proceedings of the UkrSSR Academy of Sciences, 1979,
Ser. A, No. 3, 458460, bibl. 4. (In Ukrainian and
Russian).
 Piddubniak O.P., Porokhovskyj V.V. Interaction of a bounded sound
beam with an elastic hollow sphere in an acoustical liquid.  Proceeding
of the UkrSSR Academy of Sciences, 1980, Ser. A, No. 4, 4952, bibl. 10. (In Ukrainian and Russian).
 Pidstryhach Ya.S., Piddubniak O.P., Porokhovskyj V.V. Analysis of
a reradiated signal from an elastic sphere under directive spherical
wave incidence.  Mathematical Methods and Physicomechanical Fields
(Kyiv), 1980, No. 11, 4751, bibl. 8. (In
Russian).
 Pidstryhach Ya.S., Porokhovskyj V.V., Piddubniak O.P. Analysis of
a reradiated nonstationary signal from an elastic sphere under
directive spherical wave incidence.  Mathematical Methods and
Physicomechanical Fields (Kyiv), 1980, No. 12, 2831, bibl. 5. (In Russian).
 Piddubniak O.P. Reflecrion and refraction of a plane sound pulse
on a twolayered acoustical sphere.  Mathematical Methods and
Physicomechanical Fields (Kyiv), 1980, No. 12, 4650, bibl. 5. (In Russian).
 Grylitzkyj D.V., Piddubniak O.P. Scattering of a nonstationary
torsional wave on rigid unmoved sphere in an elastic medium.  Izvestiya
of the USSR Academy of Sciences. Mechanics of
Solids (Moscow), 1980, No. 5, 8692, bibl. 20. (In Russian).
 Pidstryhach Ya.S., Piddubniak O.P., Yemel'anov O.I., Pozdeev V.O.
Determination of a wave field reradiated by an elastic or viscoelastic
spherical shell.  In: Electric Dischardge in Liquid and its Application
in Technology: Theses of the 2nd AllUnion ScientificThechnical Conf.,
Mykolayiv, 1980. Kyiv: Naukova Dumka, 1980, 5560. (In Russian).
 Piddubniak O.P. Resonance scattering of a bounded acoustical beam
on an elastic sphere in an acoustical medium.  In: Waves and
Diffraction: Short Theses of the Proceedings of the 8th AllUnion
Symposium on the Wave Diffraction and Propagation. Vol. 2. Moscow, 1981, 2326, bibl. 7. (In Russian).
 Yemets V.F., Piddubniak O.P. On inverse problem of thermal pulse
flowing in an isotropic medium.  In: Materials of the 7th Conference of
Young Scientists of Institune for Applied Problems of Mechanics and
Mathematics, UkrSSR Academy of Sciences. Lviv,
1980. Deposited in VINITI 26.03.1981, No. 137981, 6367, bibl. 5. (In
Russian).
 Kunets Ya.I., Piddubniak O.P. Axisymmetric problems of torsion of
twolayered elastic medium with an elastic pennyshaped inclusion of
finite thickness.  In: Mixed Problems of Deformable Solid Mechanics:
The 2nd AllUnion Scientific Conference: Theses of the Proceedings
(Dnipropetrovsk, 1518 Sept., 1981). Dnipropetrovsk,
1981, 75 (In Russian).
 Piddubniak O.P. Resonance scattering of a bounded acoustical beam
by an elastic sphere in an acoustical medium.  Proceedings of the
UkrSSR Academy of Sciences, 1982, Ser. A, No.
1, 4952, bibl. 10. (In Ukrainian and Russian).
 Piddubniak O.P. An certain mathematical models of acoustic
emission source in an elastic welded structures.  Automatical Welding
(Kyiv), 1982, No. 9, 1921, 30, bibl. 12. (In
Russian).
 Piddubniak O.P., Yemets V.F. The Cauchy problem for the Laplace
equation in an infinite n+1dimensional layer.  Mathematical Methods
and Physicomechanical Fields (Kyiv), 1982, No. 15, 1315, bibl. 7. (In Russian).
 Yemets V.F., Piddubniak O.P. On axisymmetrical torsion of an
elastic medium weaken by a plane circular crack.  Mathematical Methods and
Physicomechanical Fields (Kyiv), 1982, No. 16, 98101. (In Russian).
 Dzyubachyk M.I., Piddubniak O.P. Reflection and transmission of
sound waves on a hollow circular cylinder.  In: Materials of the 8th
Conference of Young Scientists of Institune for Applied Problems of
Mechanics and Mathematics, UkrSSR Academy of Sciences. Section of
Mechanics of Deformable Solids. Lviv, 1981. Deposited in VINITI
23.07.1982, No. 395283, 2025, bibl. 6. (In
Russian).
 Piddubniak O.P. Resonance scattering of a bounded acoustical beam
by spherical nonhomogeneity in water.  In: Theses of the Proceedings of
the 3rd FarEastern Acoustical Conference "Man and Ocean". Part 1. Vladivostok, 1982, 121124, bibl. 7. (In Russian).
 Piddubniak O.P. Resonance interaction of directived sound beam
with an elastic cylindrical shell.  In: The 3rd AllUnion Symposium on
Physics of the AcousticoHydrodynamical Phenomena and OptoAcoustics
(2729 Oct., 1982): Theses of the Proceedings Tashkent, 1982, 44. (In Russian).
 Dykhta V.V., Piddubniak O.P., Pidstryhach Ya.S., PozdeevV.O.,
Porokhovskyj V.V. Sound radiation from an elastic spherical shell in
water initiated by an internal point source.  In: The 3rd AllUnion
Symposium on Physics of the AcousticoHydrodynamical Phenomena and
OptoAcoustics (2729 Oct., 1982): Theses of the Proceedings Tashkent,
1982, 51. (In Russian).
 Piddubniak O.P., Kunets Ya.I. Axisymmetrical torsion of an
elastic halfspace with an elastic washer.  Applied Mechanics (Kyiv),
1983, Vol. 19, No. 7, 6670, bibl. 6. (In
Russian).
 Piddubniak O.P. Highfrequency asymptotics of reflected and
transmitted waves in sound scattering by a hollow elastic sphere filled
liquid.  Applied Mathematics and Mechanics (Moscow), 1983, Vol. 47, No.
6, 823830, bibl. 16. (In Russian).
 Voloshyn O.R., Dzyubatchyk M.I., Piddubniak O.P. Scattering of
sound wave by an elastic ribbered cylindrical shell.  In: Mechanics of
NonHomogeneous Structures: Theses of the Proceedings of the 1st
AllUnion Conference (Lviv, Sept. 68, 1983). Kyiv, 1983, 4345. (In Russian).
 Piddubniak O.P. Nonstationary reflection and refraction of
torsion wave on twolayered elastic sphere.  Mathematical Methods and
Physicomechanical Fields (Kyiv), 1984, No. 19, 8286, bibl. 8. (In Russian).
 Piddubniak O.P. Resonance scattering of sound waves by a
spherical elastic shell in a fluid.  Acoustical Journal (Moscow), 1984,
Vol. 30, No 1, 89 95, bibl. 21. (In Russian). [See also: Poddubnyak
A.P.  Soviet Physics.  Acoustics (USA), 1984, 30, No. 1, 5158].
 Piddubniak O.P. Resonance scattering of bounded sound beam by
spherical and cylindrical objects.  Acoustical Journal (Moscow), 1984,
Vol. 30, No. 3, 408409. (In Russian).
 Piddubniak O.P. Spectral characteristics of echosignal from a
limiting thin spherical shell in a fluid.  Izvestiya of the USSR
Academy of Sciences. Mechanics of Solids
(Moscow), 1984, No. 6, 144152, bibl. 21. (In Russian).
 Piddubniak O.P., Voloshyn O.R. Located action of a sound beam on
an elastic cylindrical shell.  Mathematical Methods and Physicomechanical
Fields (Kyiv), 1984, No. 20, 8286, bibl. 7. (In Russian).
 Piddubniak O.P., Voloshyn O.R. Scattering of sound waves by
circular cylindrical shell stiffened by stringers.  Proceedings of the
UkrSSR Academy of Sciences, 1984, Ser. A, No. 10,
4547, bibl. 5. (In Ukrainian and Russian).
 Piddubniak O.P. Parametrical radiator of sharpended sound beams
in a solid.  In: The 10th AllUnion ScientificTechnical Conference
"Nondestructive Physical Methods and Equipments of Testing",
Sept. 2527, 1984. Lviv: Theses of the Proceedings Book first. Moscow,
1984, 25. (In Russian).
 Piddubniak O.P., Kunets Ya.I. Nonclassical problem of a torsion
of an elastic composite containing thinwalled inclusion.  In:
NonClassical Problems of Mechanics of Composite Materials and its
Constructions: Theses of the Proceedings of the 2nd AllUnion Seminar,
Lviv, Sept. 1984. Kyiv, 1984, 5657. (In Russian).
 Pidstryhach Ya.S., Piddubniak O.P., Porokhovskyj V.V., Zverev
S.M, Dzyubachyk M.I., Yemets V.F., Voloshyn O.R. Certain new aspects of
the investigation of acoustical signals scattered by deformable bodies
in a water.  In: Problems of the Hydromechanics in the Development of
Ocean. Part 2a: Materials of the 3rd Republican Conference on Applied
Hydromechanics. Kyiv, 1984, 4041. (In Russian).
 Matus V.V., Piddubniak O.P. Stepwise propagated crack as a source
of the AEsignals.  In: The 1st AllUnion Conference "Acoustic
Emission of the Materials and Constractions", Sept. 1113, 1984.
Cellection of the Theses of the Proceedings. Part 1. RostovonDon,
1984, 6. (In Russian).
 Piddubniak O.P., Porokhovskyj V.V., Pozdeev V.O., Dykhta V.V. An
elastic spherical shell radiation of the acoustical signal generated by
an inner source.  Applied Mechanics (Kyiv), 1985, Vol. 21, No. 5,
97102, bibl. 17. (In Russian).
 Mishchenko V.O., Piddubniak O.P. Propagation of the weak and
short waves in the nonlinear thermoelastic medium.  Mathematical
Methods and Physicomechanical Fields (Kyiv), 1985, No. 22, 7275, bibl.
5. (In Russian).
 Dzyubachyk M.I., Piddubniak O.P. Interaction of the acoustical
waves with an elastic ribbed cylindrical shell.  In: Actual Problems of
the Mechanics of the Shell: Theses of the Proceedings of the 2nd
AllUnion WorkshopSeminar of the Young Scientists. Kazan', 1985, 66. (In Russian).
 Kunets Ya.I., Piddubniak O.P., Dykhta V.V. Interaction of the
acoustical pulses with the spherical resonator.  In: Improvement of the
Computation and Experimental Methods of the Physical Processes
Investigation: Theses of the Proceedings of Conference. Mykolayiv, 1985, 91. (In Russian).
 Piddubniak O.P. Quasioptical description of bounded wave beams
in the solid nonlinear bodies.  Mathematical Methods and
Physicomechanical Fields (Kyiv), 1985, No. 22, 7779, bibl. 3. (In Russian).
 Piddubniak O.P. Axisymmetric mixed problem of thermoelasticity
for transversely isotropic body with a disklike slit.  Mathematical
Methods and Physicomechanical Fields (Kyiv), 1986, No. 24, 6468, bibl.
8. (In Russian).
 Piddubniak O.P. Integral equations of the problem of the
torsional of an elastic body with a thin disclike inclusion.  Applied
Mechanics and Mathematics (Moscow), 1986, Vol. 50, No. 4, 644650, bibl.
23. (In Russian). [See also: Poddubnyak A.P. Applied Mechanics and
Mathematics (USA), 1986, Vol. 50, No. 4, 492497.]
 Piddubniak O.P., Voloshyn O.R. Analysis of spectral
characteristics of sound field scattered from cylindrical shell
stiffened by stringers.  Proceedings of the UkrSSR Academy of Sciences,
1986, Ser. A, No. 6, 2327, bibl. 5. (In Ukrainian and
Russian).
 Yemets V.F., Piddubniak O.P. Distance determination of geometry
of the convex and rigid inclusions in solids.  Diagnostics and
Predictions of Welding Constructions Fracture, 1986, No. 2, 4952, bibl.
6. (In Russian).
 Pidstryhach Ya.S., Piddubniak O.P. Scattering of the sound beams
from the elastic bodies of spherical and cylindrical forms.  Kyiv:
Naukova Dumka, 1986.  262 c., bibl. 437. (In
Russian).
 Pidstryhach Ya.S., Piddubniak O.P., Mishchenko V.O. Formation of
parametrical excitated Gaussian wave beams in an elastic solid. 
Proceedings of the UkrSSR Academy of Sciences, 1986, Ser. A, No. 7, 3842, bibl. 11. (In Ukrainian and Russian).
 Mishchenko V.O., Piddubniak O.P. Investigation of nonlinear wave
beams localizated in the thermoelastic medium.  In: Ways of the
Secondary Recourse Utilization for Production of Building Materials and
Wares: Theses of Proceedings of the AllUnion Meeting, 911 Oct. 1986. Shymkent, Kazakhstan, 1986, 175176, bibl. 3. (In Russian).
 Piddubniak O.P. Diffraction effects in focused Gaussian wave
beams propagating in an elastic medium.  Izvestiya of the USSR Academy
of Sciences. Mechanics of Solids (Moscow), 1987, No. 5, 99108, bibl.
20. (In Russian). [See also: Poddubnyak A.P. Mechanics of the Solids
(USA), 1987, Vol. 22, No. 5, 93101.]
 Piddubniak O.P., Dykhta V.V., Porokhovskyj V.V.  Resonance
properties of the system: nonclosed shell  liquid medium.  In:
Theory, Experiment, Practice of DischardgePulse Technology: Collection
of Scientific Works. Kyiv, 1987, 8893. (In
Russian).
 Voloshyn O.R., Piddubniak O.P., Porokhovskyj V.V. Acoustic wave
interaction with cylindrical nonhomogeneous structures.  In: Mechanics
of NonHomogeneous Structures: Theses of the Proceedings of the 2nd
AllUnion Conference, Lviv, 24 Sept., 1987. Vol. 2. Lviv, 1987, 6364. (In Russian).
 Yemets V.F., Piddubniak O.P. Inverse problem of acoustic waves
scattering by empty convex shell.  In: Works of the 14th AllUnion
Conference on the Plate and Shell Theory. Vol. 1
(Kutaisi, Georgia, 2023 Oct. 1987). Tbilisi, 1987, 516523, bibl. 3.
(In Russian).
 Piddubniak O.P. Differential equations of hydroelastic
vibrations of thin shell with obliquely fastened ribs.  Proceedings of
the UkrSSR Academy of Sciences, 1988, Ser. A, No. 8, 3337, bibl. 13. (In Ukrainian and Russian).
 Piddubniak O.P., Yemets V.F. The current state of the problem of
interaction of acoustic beams with obstacles in a deformable medium. 
Mathematical Methods and Physicomechanical Fields (Kyiv), 1988, No. 27,
5664, bibl. 102. (In Russian). [See also: Poddubnyak A.P., Emets V.F.
Journal of the Soviet Mathematics (USA), 1992, Vol. 62, No 1,
25482556.]
 Piddubniak O.P., Kunets Ya.I. Torsion of an elastic composite
cylinder with a crack.  Applied Mechanics (Kyiv), 1988, Vol. 24, No. 1,
1924, bibl. 9. (In Russian). [See also: Poddubnyak A.P., Kunets Ya.I.
Soviet Applied Mechanics (USA), 1988, Vol. 24, No. 1, 1520.]
 Piddubniak O.P., Porokhovskyj V.V. Scattering of a sound beam by
a nondeformable sphere and cylinder.  Acoustical Journal (Moscow),
1988, Vol. 34, No. 5, 919924, bibl. 3. (In Russian). [See also:
Poddubnyak A.P., Porokhhovskii V.V. Soviet Physics.  Acoustics (USA),
1988, Vol. 34, No. 5, 529532.]
 Kunets Ya.I., Piddubniak O.P., Dykhta V.V. Diffraction of
acoustic pulses on elastic spherical resonator with a circular hole. 
In: Electric Dischardge in Liquid and Its Application in the Industry:
Theses of the Proceedings of 4th AllUnion ScientificTechnical
Conference (Mykolayiv, Sept. 1988). Part 1.
Mykolayiv, 1988, 126. (In Russian).
 Piddubniak O.P., Porokhovskyj V.V. Nonspecular reflection of a
bounded sound beam from an elastic sphere in a liquid.  Acoustical
Journal (Moscow), 1988, Vol. 35, No. 4, 732737, bibl. 33. (In Russian).
[See also: Poddubnyak A.P., Porokhhovskii V.V. Soviet Physics. 
Acoustics (USA), 1989, 35, No. 4, 722725.]
 Pidstryhach Ya.S., Piddubniak O.P., Porokhovskyj V.V.
Nonspecular reflection of a finite sound beam by an elastic circular cylinder
in a liquid.  In: AllUnion Symposium "Interaction of Acoustic
Waves with Elastic Bodies" (Tallinn, 2627 Oct., 1989): Short
Theses of the Proceedings. Tallinn, 1989,
149152, bibl. 5. (In Russian).
 Piddubniak O.P. Axisymmetrical mixed problem of thermoelasticity
for transversely isotropic solid with an outer crack.  In: Mixed
Problems of Mechanics of Deformable Solid: The 4th AllUnion Conference,
2629 Sept., 1989: Theses of the Proceedings. 2nd Part. Odesa, 1989, 55. (In Russian).
 Piddubniak O.P. Highfrequency asymptotics of acoustic pressure
during finite wave beam scattering by an elastic sphere.  Applied
Mathematics and Mechanics (Moscow), 1989, Vol. 53, No. 6, 931938, bibl.
19. (In Russian).
 Porokhovskyj V.V., Piddubniak O.P. Spectral characteristics of
the acoustic field pressure, scattered by a nondeformable body of
revolution.  Mathematical Methods and Physicomechanical Fields (Kyiv),
1989, No. 30, 813, bibl. 8. (In Russian).
 Yemets V.F., Mishchenko V.A., Poddubnyak A.P. Parametric
excitation of finite acoustical beams in solids.  In: X International
Conference "High Energy Rate Fabrication", Sept. 1822, 1989,
Ljubljana, Yugoslavia: Proceedings, Ljubljana, 1989, 654663, bibl. 8.
 Piddubniak O.P. Scattering of the focused Gaussian beams of the
elastic waves by a spherical hole.  In: Modelling and Optimization of
Complex Mechanical Systems: Collection of Scientific Works / Institute
of Cybernetics of the UkrSSR Academy of Sciences. Kyiv, 1990, 8396, bibl. 11. (In Russian).
 Dykhta V.V., Kunets Ya.I., Piddubniak O.P. Axisymmetrical
scattering of acoustic pulses by an elastic spherical shell with a hole.
 Izvestiya of the USSR Academy of Sciences. Mechanics of Solids
(Moscow), 1990, No. 4, 141148, bibl. 20. (In Russian). [See also:
Dykhta V.V., Kunets Ya.I., Poddubnyak A.P. Mechanics of the Solids
(USA), 1990, Vol. 25, No. 4, 150157.]
 Pidstryhach Ya.S., Piddubniak O.P. Asymptotic analysis of back
reflection of a finite sound beam by an elastic circular cylinder. 
Proceedings of the UkrSSR Academy of Sciences, 1990, Ser. A, No. 10,
4751, bibl. 12. (In Ukrainian and Russian). [See also in: Pidstryhach
Ya.S. Selected Works. Kyiv: Naukova Dumka, 1995,
364367. (In Ukrainian).]
 Piddubniak O.P., Porokhovskyj V.V. Diffraction of sound pulse on
a spherical solid placed near the bottom.  In.: Mechanics of
NonHomogeneous Structures: Theses of the Proceedings of the 3rd
AllUnion Conference, Lviv, 1719 Sept., 1991. Part 2. Lviv, 1991, 254. (In Russian).
 Piddubniak O.P. Wave beams interaction with obstacles in the
liquid and solid elastic media / Theses of Doctor Dissertation of
PhysicoMathematical Sciences; Institute for Problems in Mechanics of
the Russian Academy of Sciences. Moscow, 1992. 
32 p. (In Russian).
 Horbal S.I., Piddubniak O.P. Diffraction of sound on a spherical
shell with a ringshaped rib.  Mathematical Methods and
Physicomechanical Fields (Lviv), 1992, No. 35, 143146, bibl. 8. (In
Ukrainian). [See also: Horbal S.I., Piddubnyak A.P. Journal of Soviet
Mathematics (USA), 1993, Vol. 67, No. 5, 29552958.]
 Baysa V.D., Kunets Ya.I., Matus V.V., Piddubniak O.P. Stationary
vibrations of the twolayer stack with delamination.  Technical
Diagnostics and NDT, 1993, No. 4, 3035, bibl. 7. (In Russian).
 Piddubniak O.P. On the operator representation of the Green's
functions of the dynamic theory of elasticity.  Mathematical Methods
and Physicomechanical Fields (Lviv), 1994, No. 37, 7880, bibl. 4. (In
Ukrainian). [See also: Poddubnyak A.P. Journal of Mathematical Sciences
(USA), 1996, Vol. 79, No. 6, 14551457.]
 Piddubniak Olexa. Two writings from the black books of Vinnytsia
castle.  Ukraina in Antiquis (Kyiv; Lviv), 1994, Vol. V, 137155, 214. (In Ukrainian).
 Piddubniak O.P. Frequency characteristics of sound waves scattered
by an elastic circular cylindrical shell with a slit along generating
line.  Proceedings of the National Academy of Sciences of Ukraine,
1995, No. 9, 3840, bibl. 3. (In Ukrainian).
 Horbal Stepan, Piddubniak Olexa. Sound scattering from spherical
shell, equatorially reinforced by an annular plate.  In: The 2nd Int.
Symposium of the Ukrainian EngineersMechanics in Lviv: Theses of the
Proceedings: On the 150th Anniversary of the Lvivska Politechnika. Lviv, 46 May, 1995. [Lviv, 1995], 2223. (In Ukrainian).
 Piddubniak O.P., Kunets Ya.I., Yemets V.F., Matus V.V. Some
questions of acoustodiagnostics of the structural elements, slackened
by the cracks.  In: Materials of the IInd Int. Symposium "Fracture
Mechanics and Physics of Construction Materials and Structures",
710 Oct., 1996., Lviv; Dubliany, 1996, 372376, bibl. 3. (In Ukrainian).
 Piddubniak Olexa. Dokumentary evidence of Tartar's participation
in internal quarrels of Braclavian region's gentry at the first quarter of
the 17th century.  Ukraina in Antiquis (Kyiv; Lviv), 1996, Vol. VIII, 191204, 237. (In Ukrainian).
 Piddubniak Olexa. Document with Dmytro Vyshnevetzkyj's signet. 
Znak (Lviv), 1996, No. 11 (March), 23. (In
Ukrainian).
 Piddubniak O.P., Kunets Ya.I., Mishchenko V.O. On the problem of
synthesizing an acoustic antenna with ideal directivity pattern. 
Mathematical Methods and Physicomechanical Fields (Lviv), 1996, Vol. 39,
No. 1, 8790, bibl. 7. (In Ukrainian). [See also: Piddubnyak O.P.,
Kunets Ya.I., Mishchenko V.O. Journal of Mathematical Sciences (USA),
1997, Vol. 86, No. 2, 25962599.]
 Piddubniak O.P. Elastic equilibrium of a circular cylindrical
shell with axial slit under inner pressure.  In: Boundary Problems of
ThermoMechanics (Part II): Collection of Scientific Works Dedicated to
the 60th Birth Anniversary of Professor Kolyano Ju.M. Kyiv, 1996, 6063,
bibl. 4. (In Ukrainian).
 Piddubniak Olexa, Matus Valery. Nonspecular reflection of
bounded acoustic beam from a porous halfspace.  In: DIPED97:
Proceedings of the IInd Int. Seminar/Workshop on Direct and Inverse
Problems of Electromagnetic and Acoustic Wave Theory (Lviv, Sept. 1517,
1997) / IEEE MTT/ED/AP/CPMT West Ukraine Chapter; IEEE MTT/ED/AP/EMC
Republic of Georgia Chapter. Lviv, 1997,
97100, bibl. 3.
 Piddubniak O.P., Porokhovskyj V.V. Diffraction of plane sound
wave on an elastic sphere placed near bottom.  Mathematical Methods and
Physicomechanical Fields (Lviv), 1997, Vol. 40, No. 1, 7984, bibl. 4. (In Ukrainian).
 Horbal S.I., Piddubniak O.P. The effect of a stiffening ring
plate on an acoustic field scattered by a thin spherical shell. 
Mathematical Methods and Physicomechanical Fields (Lviv), 1997, Vol. 40,
No. 3, 7177, bibl. 12. (In Ukrainian). [See also: Horbal' S.I., Piddubnyak
O.P. Journal of Mathematical Sciences (USA), 1999, Vol. 96, No. 1,
28572863]
 Piddubniak O. Total scattering crosssection of a nondeformable
sphere partially insonified at a circular annular spot.  Archives of
Acoustics (Warsaw), 1997, Vol. 22, No. 2, 281290, bibl. 18.
 Piddubniak O.P. Effect of the pulse sound beams scanning on the
formation of wave back scattering by an immersed elastic cylinder. 
Proceedings of the National Academy of Sciences of Ukraine, 1997, No. 2,
8388, bibl. 7. (In Ukrainian).
 Piddubniak Olexa, Porokhovskyj Vasyl. Nonspecular reflection of
a finite sound beam by an elastic hollow sphere.  In: Int. Research
Conference "Modern Problems of Mechanics and Mathematics"
Deducated to the 70th Birth Anniversary of Ja.S. Pidstryhach and 25th
Anniversary of the Institute Founded by Him, 2528 May, 1998.:
Materials. Lviv, 1998, 101102, bibl. 2. (In Ukrainian).
 Piddubniak O.P., Piddubniak N.G. Improved evaluation of the resonance
spectral parameters of sound scattering from the spherical thin elastic
shell.  In: DIPED98: Proceedings of the IIIrd Int. Seminar/Workshop on
Direct and Inverse Problem of Electromagnetic and Acoustic Wave Theory,
Tbilisi, Nov. 25, 1998 / IEEE MTT/ED/AP/EMC Republic of Georgia
Chapter; IEEE MTT/ED/AP/CPMT West Ukraine Chapter. Lviv; Tbilisi, 1998, 121125, bibl. 5.
 Krykun Mykola, Piddubniak Olexa. Materials about action of the
citizen and territorial courts of Braclav Province in the last quarter
of the 16th  the first half of the 17th centuries in the archives of
the Pisochynsky's family.  In: Collection of Works and Materials on
L.I. Kryshelnytzka's honour / Lviv Stefanyk Scientific Library of the
National Academy of Sciences of Ukraine. Lviv,
1998, 81106. (In Ukrainian).
 Krykun Mykola, Piddubniak Olexa. Materials conserned with action
of the citizen and territorial courts of Braclav Province from the last
quarter of the 16th c. to the first half of the 17th c. in the archives
of the Pisochynsky's noble family.  Miscellanea HistoricoArchivistica
(Warsaw), 1999, Vol. 10, 123150. (In Polish).
 Piddubniak O.P., Piddubniak N.G. Spectral parameters of resonance
sound scattering from a circular cylindrical thin elastic shell.  In:
DIPED99: Direct and Inverse Problem of Electromagnetic and Acoustic
Wave Theory: Proceedings of the IVth Int. Seminar/Workshop (Lviv, Sept.
2023, 1999) / IEEE MTT/ED/AP/CPMT West Ukraine Chapter; IEEE
MTT/ED/AP/EMC Republic of Georgia Chapter. Lviv, 1999, 144148, bibl. 4.
 Krykun Mykola, Piddubniak Olexa. Materials of the Pisochynsky
noblemen as a source to the history of the Braclav Province of the last
quarter of the 16th  the first half of the 17th centuries.  In:
Manuscript Ucrainica in the Holdings of Lviv Stefanyk Scientific Library
of the National Academy of Sciences of Ukraine and the Problems of
Creating Information Databases: Materials of the Int. Scientific and
National Conference, Sept. 2021, 1996 / Lviv Stefanyk Scientific
Library of the National Academy of Sciences of Ukraine. Lviv, 1999, 418422, 633. (In Ukrainian).
 Piddubniak O.P., Piddubniak N.G. Back reflection of sound beam
from an elastic cylinder at oblique incidence.  In: DIPED2000:
Proceedings of the Vth Int. Seminar/Workshop on Direct and Inverse
Problem of Electromagnetic and Acoustic Wave Theory, Tbilisi, Oct. 36,
2000 / IEEE MTT/ED/AP/EMC Republic of Georgia Chapter; IEEE
MTT/ED/AP/CPMT/SSC West Ukraine Chapter. Lviv;
Tbilisi, 2000, 131136, bibl. 8.
 Piddubniak O.P. Something from the experience of bibliographic
work of scientist: (description of the structure of narrowlyspecial
base of the primary sources with taking into account general scientific
and outofprofessional tastes of the author).  Memoirs of Lviv
Stefanyk Scientific Library of the National Academy of Sciences of
Ukraine (Lviv), 2000, Vol. 7/8, 233254. (In
Ukrainian).
 Piddubniak Olexa, Porokhovskyj Vasyl, Matus Valery. Dynamic
concentration of the stresses near a hole of noncanonical forms in an
elastic halfspace.  In: Mathematical Problems of Mechanics of
NonHomogeneous Structures. Vol. 2 / Pidstryhach Institute of Applied
Problems of Mechanics and Mathematics of the National Academy of
Sciences of Ukraine. Lviv, 2000, 158161, bibl.
3.
 Piddubniak O.P. Reflection of focused Gaussian sound beam at a
plane interface of unmovedmoved parts of acoustical medium.  In:
DIPED2001: Proceedings of the VIth Int. Seminar/Workshop on Direct and
Inverse Problem of Electromagnetic and Acoustic Wave Theory, Lviv, Sept.
1820, 2001 / IEEE MTT/ED/AP/CPMT/SSC West Ukraine Chapter; IEEE
MTT/ED/AP/EMC Republic of Georgia Chapter. Lviv, 2001, 159165, bibl. 9.
 Piddubniak O.P. (compiler) Calculation of opticomechanical
soundreproducing system of cineapparatus: Methodical instructions for
the calculation and graphical work from the course "Projection of
opticomechanical devices" for the students of speciality 7.090901
"Devices of Precise Mechanics".  Lviv: National University
"Lvivska Politechnika" Publ., 2002. 23 p., bibl. 5. (In Ukrainian).
 Piddubniak O.P. Acoustic fields generation by an elastic circular
cylinder rotating about its axis with variable angular velocity.  In:
Scientific Readings, Dedicated to Academician Ja. S. Pidstryhach's
Memory (2324 May, 2002) / Pidstryhach Institute for Applied Problems of
Mechanics and Mathematics of the National Academy of Sciences of
Ukraine. Lviv, 2002, 1011. (In Ukrainian).
 Piddubniak Olexa. Look in the past: From the history of Teplycian
region.  Visti Teplychchyny (Teplyk), 2002, 14 Aug. (In Ukrainian).
 Piddubniak O.P., Piddubniak N.G. Diffraction effects in
twodimensional Gaussian focused wave beam in a moved acoustical medium.
 In: DIPED2002: Proceedings of the VIIth Int. Seminar/Workshop on
Direct and Inverse Problem of Electromagnetic and Acoustic Wave Theory,
Tbilisi, Oct. 1013, 2002 / IEEE MTT/ED/AP/EMC Republic of Georgia
Chapter; IEEE MTT/ED/AP/CPMT/SSC West Ukraine Chapter, Lviv; Tbilisi,
2002, 158163, bibl. 4.
 Piddubniak Olexa. Letters of Mykola Tchajkovsky to Antin
Krushelnytzky.  Memoirs of Lviv Stefanyk Scientific Library of National
Academy of Sciences of Ukraine (Lviv), 2002, Vol. 9/10, 255288. (In Ukrainian).
 Piddubniak Olexa, Piddubniak Nadia. Sound radiatin by an elastic
circular hollow cylinder rotated in air with a variable angular
velocity.  In: Mathematical Problems of Mechanics of Nonhomogeneous
Structures / Pidstryhach Institute for Applied Problems of Mechanics and
Mathematics of National Academy of Sciences of Ukraine. Lviv, 2003, 355358, bibl. 3.
 Pakowski Zdzisław, Piddubniak Olexa, Głębowski Michał‚. Nonlinear integrodifferential equations of
axisymmetrical drying of a shrinking porous circular cylinder of finite
length.  In: 10th Drying Symp., Lodz, Poland, 1719 Sept., 2003. Lodz, 2003, 181189, bibl. 9.
 Piddubniak O.P. Sound radiation by elastic circular cylinder
rotated around its axis with variable angular velocity.  Mathematical
Methods and Physicomechanical Fields (Lviv), 2003, Vol. 46, No. 3,
106115, bibl. 21. (In Ukrainian),
 Piddubniak O.P., Piddubniak N.G. Sound radiation by a hollow
circular elastic cylinder rotated in water with a variable angular
velocity.  Archives of Acoustics (Warsaw), 2003, Vol. 28, No. 4,
339354, bibl. 14.
 Piddubniak O. The classgenealogical structure of EastPodolien
village of the second second half of the 18th century (on the materials
of parish register of the village of Mala Mochulka in Vinnytsa’s
province) // Materials of the Third Interregional Genealogical
Conference “Ukrainian Pedigree”.  Lviv, 2003. – P. 320–329. (In Ukrainian).
 Piddubniak Olexa. From depth of ages.  Visti Teplychchyny
(Teplyk), 2003, 3 Sept. (In Ukrainian).
 Piddubniak Olexa. Under serf yoke.  Visti Teplychchyny (Teplyk),
2003, 12 Nov. (In Ukrainian).
 Piddubniak Olexa, Krykun Mykola. Toponymical objects of the
Braclav Palatine of the last quarter of the 16th – the first half of the
17th centuries: (on the base of the Pisochynsky family archives).  In:
Historical Cartography of Ukraine: A Collection of Scholarly Papers /
Branton University, Manitoba, Canada; Lviv Branch of Mykhailo Hrushevsky
Institute of Ukrainian Archeography and Source Studies of National
Academy of Sciences of Ukraine. Lviv; Kyiv; New York: M.P. Kots Publ.,
2004, 397413. (In Ukrainian).
 Piddubniak Olexa. From Umania and Teplycia.  Visti Teplychchyny
(Teplyk), 2004, 30 March.  (Poland’s Year in Ukraine.) (In Ukrainian).
 Piddubniak Olexa, Pakowski Zdzisław. Determination of porosity of
saturated solid using the effect of nonspecular reflection of Gaussian
sound beam.  Chemical and Process Engineering (Wroclaw), 2004, Vol. 25,
No. 3/3, 14871493, bibl. 8.
 Piddubniak Olexa. By thorny path: On history of the jubilee
edition in 1929 year of Mykhailo Kotzubynsky’s story “Shades of
Forgotten Ancestors”. – Dzvin, 2004, No. 1112, 150162. (In Ukrainian).
 Piddubniak Olexa. On historical geography of Braclavia and
Teplycia.  Visti Teplychchyny (Teplyk), 2004, 28 Sept. (In Ukrainian).
 Piddubniak Olexa. On history of the jubilee edition in 1929 year
of Mykhailo Kotzubynsky’s story “Shades of Forgotten Ancestors”.  Visti
Teplychchyny (Teplyk), 2004, 19 Oct. (In Ukrainian).
 Piddubniak Olexa. The parish register of the Mala Mochulka as an
archeographic source to the history of EastPodolien village of the second
half of the 18th century. – Genealogical Memoirs of Ukrainian Geraldic
Society (Lviv), 2004 Vol. IV, 5968. (In
Ukrainian).
 Piddubniak O.P., Piddubniak N.G. Spectral characteristics of wave
process in circular cylinder rotated in acoustic medium with a
nonconstant angular velocity.  In: DIPED2005: Direct and Inverse
Problem of Electromagnetic and Acoustic Wave Theory: Proc. Xth Int.
Seminar/Workshop, Lviv, Sept. 1215, 2005 / IEEE MTT/ED/AP/CPMT/SSC West
Ukraine Chapter; IEEE MTT/ED/AP/EMC Republic of Georgia Chapter, Lviv,
2005, 223229, bibl. 4.
 Piddubniak O.P., Piddubniak N.G. Sound radiation by rotating
porous cylinder.  In: DIPED2005: Direct and Inverse Problem of
Electromagnetic and Acoustic Wave Theory: Proc. Xth Int.
Seminar/Workshop, Lviv, Sept. 1215, 2005 / IEEE MTT/ED/AP/CPMT/SSC West
Ukraine Chapter; IEEE MTT/ED/AP/EMC Republic of Georgia Chapter, Lviv,
2005, 230236, bibl. 8.
 Piddubniak Olexa. Spectral characteristics of porosity for a
cylinder rotating at nonconstant angular velocity.  In: 11th Polish
Drying Symp., Poznań, Poland, 1316 Sept. 2005. Poznań: Wydwo Politechn. Poznańskiej, 2005. – Abstracts: 7374;
Proceedings (on CD): 10 p.
 Piddubniak Olexa. Spectral characteristics of porosity for a
cylinder rotating at nonconstant angular velocity.  Annual Review of
Agricultural Engineering (Warsaw), 2006.  5, No. 1, 5158, bibl. 8.
 Piddubniak O.P., Piddubniak N.G. Analysis of strainstress state
of circular cylinder rotating in acoustic medium with a nonconstant
angular velocity.  Mathematical Methods and Physicomechanical Fields
(Lviv), 2006, Vol. 49, No. 1, 198207, bibl. 12. (In Ukrainian).
 Piddubniak Olexa, Piddubniak Nadia. Transition and resonance
processes in the material of an acoustic rototron.  In: DIPED2006: Direct
and Inverse Problem of Electromagnetic and Acoustic Wave Theory: Proc.
XIth Int. Seminar/Workshop, Tbilisi, Oct. 1113, 2006 / IEEE
MTT/ED/AP/EMC Republic of Georgia Chapter; IEEE MTT/ED/AP/CPMT/SSC West
Ukraine Chapter Lviv; Tbilisi, 2006, 127132, bibl. 6.
 Piddubniak Olexa, Piddubniak Nadia. Pulse radiation by acoustic
rototron.  Ibid, 133138, bibl. 6.
 Piddubniak Olexa, Kohut Roman. Ukrainian engineermetalurg
Mykhailo Kornachevsky.  Mechanical Engineering (Lviv), 2006, No. 1112,
4143. (In Ukrainian).
 Kornachevsky M. Reasons of the sudden breakage of pieces of the
machines and constructions / Prepar. for press Piddubniak Olexa. –
Mechanical Engineering (Lviv), 2006, No. 1112, 4352. (In Ukrainian).
 Piddubniak O.P., Piddubniak N.G. Transition processes in an
elastic circular cylinder rotating about its axis in acoustic medium. 
Mathematical Methods and Physicomechanical Fields (Lviv), 2007, Vol. 50,
No. 2, 120128, bibl. 18. (In Ukrainian).
 Piddubniak Olexa. Mechmath in retrospective review: Factory
newspaper of Ivan Franko University of Lviv as source of
mechanicomathematical faculty history: 19481969 years/ Techn. Univ. of Lodz. – Lodz; Lviv, 2007. – 108+[18] p. (In Ukrainian).
 Piddubniak Olexa, Ledakowicz Stanisław, Nowicki Lech. Ruch ciepła
podczas rozkładu termicznego próbki ciała stałego w kształcie walca o
skończonych wymiarach. – W: XIX Ogólnopolska konferencja inżynierii
chemicznej i procesowej (34 wrzesień 2007, Rzeszów): Materiały
konferencyjne. Tom I: Inżynieria chemiczna – procesy i aparaty. Rzeszów,
2007, 352354, bibl. 4.
 Piddubniak Olexa, Piddubniak Nadia, Cichowicz Marta, Szymczak Anna. Sound radiation from many moving cars.  In:
DIPED2007: Direct and Inverse Problem of Electromagnetic and Acoustic
Wave Theory: Proc. XIIth Int. Seminar/Workshop, Lviv, Sept. 1720, 2007
/ IEEE MTT/ED/AP/EMC Republic of Georgia Chapter; IEEE
MTT/ED/AP/CPMT/SSC West Ukraine Chapter. Lviv,
2007, 2532, bibl. 9.
 Piddubniak Olexa, Piddubniak Nadia. Spectral characteristics of
wave processes in circular porous cylinder rotated in acoustical medium
with a nonconstant angular velocity.  Ibid, 187194, bibl. 14.
 Piddubniak O.P., Piddubniak N.G. Axially symmetric sound
radiation by rotating elastic hollow cylinder in air.  Mathematical
Methods and Physicomechanical Fields (Lviv), 2007, Vol. 50, No. 4,
130139, bibl. 12.
 Krykun Mykola, Piddubniak Oleksij (collegerunt). Dokumenta
palatinatus Braclaviensis annorum 15661606 / Societas Scientiarum
Ševčenkiana.  Leopoli, 2008.  1219 p.
 Piddubniak O.P., Piddubniak N.G. Axially symmetric periodical
wave processes in rotating elastic hollow circular cylinder surrounded
by an acoustic medium.  Archives of Acoustics (Warsaw), 2008, Vol. 33,
No. 3, 293312, bibl. 30.
 Krykun Mykola, Piddubniak Olexa. Materials conserned with action
of the citizen and territorial courts of Braclav Palatine from the last
quarter of the 16th to the first half of the 17th centuries in the
Pisochynsky’s noble family archives.  In: Krykun Mykola. Braclav
Palatinate in the Sixteenth through Eighteenth Centuries: Studies and
Source Materials. Lviv: Ukrainian Catholic University Press, 2008,
5996. (In Ukrainian).
 Piddubniak O.P. Stressed state of a circular hollow porous
liquidsaturated cylinder rotating around its axis with constant angular
velocity.  Mathematical Methods and Physicomechanical Fields (Lviv),
2008, Vol. 51, No. 4, 152162, bibl. 14. (In Ukrainian). [See also:
Journal of Mathematical Sciences (Springer, New York), 2010, 167, No. 2,
182196.]
 Piddubniak Olexa, Piddubniak Nadia, Karnicki Krzysztof. Acoustic echosignal from a thin cylindrical
shell with a slit.  In: DIPED2009: Direct and Inverse Problems of
Electromagnetic and Acoustic Wave Theory: Proc. XIVth Int.
Seminar/Workshop / IEEE MTT/ED/AP/CPMT/SSC West Ukraine Chapter; IEEE
MTT/ED/AP/EMC Republic of Georgia Chapter, Lviv, Sept. 2124, 2009. Lviv, 2009, 2430, bibl. 10.
 Piddubniak Olexa, Piddubniak Nadia, Teodorczyk Tomasz, Abramczyk
Jakub. Radiation of roadway noise in windy conditions.
 Ibid, 253260, bibl. 15.
 Piddubniak Olexa, Piddubniak Nadia, Kurek Łukasz, Dujka Magdalena. Sound car radiation from city crossroad. –
Ibid., 261266, bibl. 6.
 Krykun Mykola, Piddubniak Olexa. The Volynian manor of Lavryn
Pisochynskyj (the acquision of the village Kunev and the protection of
his ownership rights to it).  Socium: An Almanac of Social History
(Kyiv), 2010, No. 9, 97135. (In Ukrainian).
 Piddubniak Olexa, Piddubniak Nadia. Analysis of acoustical field
radiated from two moving trains.  In: DIPED2010: XVth Int.
Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and
Acoustic Wave Theory: Proceedings. Tbilisi, Sept. 2730, 2010 / IEEE
MTT/ED/AP/EMC Georgian Chapter; IEEE MTT/ED/AP/CPMT/SSC West Ukraine
Chapter. Lviv; Tbilisi, 2010, 223230, bibl. 10.
 Piddubniak Olexa, Piddubniak Nadia. Sound radiation from
roundabout.  Archives of Acoustics (Warsaw), 2010, 35, No. 3, 437456,
bibl. 20.
 Piddubniak O. P. Reliability of devices: Conspectus of lectures. Part
1 / For the students of Institute for Computer Technology, Automatics
and Metrology of speciality 7.090901 “Devices of Precise Mechanics”;
National University “Lvivska Politechnika”. – Lviv: Lvivska Politechnika
Press, 2010.  83+[1] p. (In Ukrainian).
 Piddubniak O. P. Reliability of devices: Conspectus of lectures.
Part 2 / For the students of Institute for Computer Technology,
Automatics and Metrology of speciality 7.090901 “Devices of Precise Mechanics”;
National University “Lvivska Politechnika”. – Lviv: Lvivska Politechnika
Press, 2010.  78+[2] p. (In Ukrainian).
 Piddubniak O. P., Piddubniak N. G., Klimas M. The train sound
radiation.  Mathematical Methods and Physicomechanical Fields (Lviv),
2010, 53, No. 4. – P. 180187, bibl. 14. [See also: Piddubniak O. P., Piddubniak N. G., Klimas M. Train sound radiation.  Journal of Mathematical Sciences (Springer, New York), 2012, 181, No. 4, 520528].
 Piddubniak Olexa, Ledakowicz Stanisław, Nowicki Lech. New approach to a problem of heat transfer with
chemical reaction in a cylinder of finite dimensions.  Int. J. Heat and
Mass Transfer, 2011. – 54, No. 1. – P. 338344, bibl. 14.
 Piddubniak Olexa, Piddubniak Nadia. Sound radiationі from piston in fluid
cylinder of finite length.  In: DIPED2011 XVIth Int. Seminar/Workshop
on Direct and Inverse Problems of Electromagnetic and Acoustic Wave
Theory: Proceedings. Lviv, Sept. 2629, 2011 / IEEE MTT/ED/AP/CPMT/SSC
West Ukraine Chapter; IEEE MTT/ED/AP/EMC Georgian Chapter. Lviv, 2011, 186192, bibl. 6.
 Piddubniak O. P. Reliability of devices:
Conspectus of lectures. Parts 34: Reliability of system; Reliability of
renevaled objects / For the
students of Institute for Computer Technology, Automatics and Metrology
of speciality 7.090901 “Devices of Precise Mechanics”; National
University “Lvivska Politechnika”. – Lviv: Lvivska Politechnika Press,
2011.  83+_{[}1_{]} p.  (In Ukrainian).
 Piddubniak Olexa, Piddubniak Nadia,
Mądra Mariola. Sound radiation from roadway with a rightangle winding.  In:
DIPED2012: XVII^{th} Int. Seminar/Workshop on
Direct and Inverse Problems
of Electromagnetic and Acoustic Wave Theory: Proceedings. Tbilisi, Sept. 2427,
2012 / Ivane Javakhishvili Tbilisi
State Univ., Georgia; Pidstryhach Institute for Applied Problems in
Mechanics and Mathematics, NASU, Ukraine; IEEE MTT/ED/AP/Georgian Chapter; IEEE
MTT/ED/AP/CPMT/SSC West Ukraine Chapter. Tbilisi, 2012, 188194,
bibl. 7.
 Piddubniak Olexa, Piddubniak Nadia,
Midera Paulina. Sound radiation from airplane on the start. 
Ibid., 195202, bibl. 8.
 Piddubniak Olexa, Piddubniak Nadia,
LisKlimek Marta.
Steadystate acoustic
scattering by cracked oil pipeline.  Ibid., 203206, bibl. 9.
 Piddubniak О. P. Basics of scientific
researches (after E. Wilson): Conspectus of lectures. Parts 1 / For
the students of Institute for
Computer Technology, Automatics and Metrology of speciality 8.05100302 “Devices and Systems for Precise
Mechanics” and 8.05100306 “Information
Technologies in Devices Engineering”; National University “Lvivska
Politechnika”. – Lviv: Lvivska Politechnika Press, 2012. – 81+_{[}3_{]}
p. – (In Ukrainian).
 Kamiński Władysław, Strumiłło Paweł, Tomczak Elwira. Application of the artificial intelligence systems
for solving of select atmospheric engineering problems / Commission for
Environmental Engineering of Lodz Department of Polish Academy of
Sciences; Transl. from Polish and sci. edition by prof. Piddubniak
Oleksa.  Lodz, 2013. – 179+_{[}1_{]} p. – (In Ukrainian).
 Piddubniak O. P.,
Piddubniak N. G. Sound radiation from aircraft during takeoff
run on runway. – Mathematical Methods and Physicomechanical Fields
(Lviv), 2013, 56, № 1, 115126, bibl. 20. (In Ukrainian).
 Piddubniak Olexa, Piddubniak Nadia,
Sujecki Krzysztof. Sound radiation from aircraft during takeoff. – In:
DIPED2013: XVIIIth Int. Seminar/Workshop on Direct and Inverse Problems
of Electromagnetic and Acoustic Wave Theory: Proceedings. Lviv, Sept. 2326,
2013 / Pidstryhach Institute for Applied Problems in Mechanics and
Mathematics NASU, Ukraine; IEEE MTT/AP/CPMT/SSC West Ukraine Chapter.
Lviv, 2013, 2835, bibl. 12.
 Piddubniak Olexa, Piddubniak Nadia,
Brzozowska Sylwia. Analysis of acoustic echosignal from gas pipeline with
long crack. – Ibid, 219225, bibl. 12.
 Piddubniak Olexa, Piddubniak Nadia,
Krasnyk Oleksandr. Sound radiation from T junction of city roads. – Ibid,
226232, bibl. 8.
 Piddubniak Olexa, Piddubniak Nadia.
Analysis of spectral characteristics of sound waves scattered from a
cracked cylindrical elastic shell filled with a viscous fluid. – Archives
of Acoustics (Warsaw), 2013, 38, No. 3, 335350, bibl. 37.
