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I. In English

Papers in the Refereed Journals

1. On Fourier Series and Integrals Connected with Dual Equations, in: Mathem. Problems of Wave Propagation, Notes of Sc. Seminars of the Leningrad Stecklov Math. Instit. No. 2, 15, 33-44 (1971)

2. Diffraction of the Cylindrical Wave on a Semi-Infinite Plate Between Two Acoustic Media (with D.P.Kouzov, V.D.Lukianov, and V.D.Cheltsova), Notes of Sc. Seminars of the Leningrad Stecklov Math. Instit. No. 3, 17, 20-31 (1971)

3. Diffraction of a Cylindrical Elastic Wave on a Semi-Infinite Screen, in Mathematical Problems of Wave Propagation (with D.P.Kouzov), Proc. of the Leningrad Stecklov Math. Instit. No. 1, CXV, 14-29 (1971)

4. On Acoustic Wave Diffraction by Plates Connected at a Right Angle (with D.P. Kouzov, and V.D. Cheltsova), PMM USSR (J. of Applied Math. and Mechanics) No.2, 37, 273-281 (1973)

5. The Integral Equations of Stationary Problems on the Diffraction of Short Waves at Obstacles of the Segment Type, USSR Comput. Maths. Math. Phys. No.2, 13, 125-140 (1973)

6. Systems of Linear Algebraic Equation Associated with Problems of Diffraction by Periodic Structures, J. of Soviet Math. No.1, 3, 1-8 (1975)

7. State of Stress in a Flat Circular Ring with a Crack (with A.Z.Lokshin), PMM USSR (J. of Appl. Math. and Mechanics) No.6, 39, 1070-1081 (1975)

8. Diffraction of Long Waves on a Plate with a Protruding Stiffener, Soviet Phys. Acoust. No.2, 23, 111-114 (1977)

9. On Influence of Stiffeners on Propagation of Flexural Waves in a Plate of Finite Width (with V.A.Veshev, I.I.Klukin, and D.P.Kouzov), Mechanics of Solids, No.5, 12, 166-170 (1977)

10. Sound Radiation from a Plate with Protruding Stiffener, Soviet Phys. Acoust. No.3, 24, 183-187 (1978)

11. Wave Propagation in Thin-Shelled Beams of Different Shapes (with V.A.Veshev, D.P.Kouzov, and T.S.Kravtsova), Soviet Phys. Acoust. No.3, 24, 244-245 (1978)

12. Diffraction of a Plane Wave by a Plate Reinforced by a Protruding Stiffening Rib, PMM USSR (J. of Appl. Math. and Mechanics) No.3, 42, 510-518 (1978)

13. On Excitation of Vibrations in a Ribbed Plate of Finite Width (with V.A.Veshev, I.I.Klukin, and D.P.Kouzov), Mechanics of Solids, No.1, 13, 139-145 (1978)

14. Effect of Losses on Propagation of Vibrations in a Beam - Reinforced Plate (with V.A.Veshev, I.I.Klukin, and D.P.Kouzov), Soviet Phys. Acoust. No.1, 24, 15-17 (1978)

15. Diffraction of Sinusoidal Impulse by a Rigid Strip, J. of Soviet Math. No.5, 11, 687-694 (1979)

16. Optical Theorem for a Plate-Fluid System (with D.P.Kouzov), Soviet Phys. Acoust. No.1, 26, 8-11 (1980)

17. Green's Type Formulas for Flexurally Vibrating Plates (with D.P. Kouzov), Soviet Phys. Acoust. No.5, 27, 394-398 (1981)

18. Uniqueness of the Solution of Stationary Acoustic Problems for Reinforced Plates, J. of Soviet Math. No.1, 20, 1754-1757 (1982)

19. Optical Theorem for the Scattering Waves in an Elastic Plate, J. of Soviet Math. No.1, 20, 1758-1760 (1982)

20. Sound Radiation by a Plate Reinforced by a Set of Protruding Stiffener Ribs Subjected to a Periodic System of Forces, PMM USSR (J. of Applied Math. and Mechanics) No.6, 46, 805-814 (1982)

21. Diffraction of Plane Wave by an Infinite Elastic Plate Stiffened by a Doubly Periodic Set of Rigid Ribs, PMM USSR (J. of Applied Math. and Mechanics) No.6, 47, 767-774 (1983)

22. Radiation of Sound from a Plate Reinforced by a Set of Protruding Beams under the Action of a Driving Force, Soviet Phys. Acoust. No.4, 29, 251-255 (1983)

23. Stability of Deck Flooring with a Biregular System of Beams (with Y.Sh. Belinskaya), Mechanics of Solids, No.2, 18, 133-138 (1983)

24. On the Uniqueness of a Solution of Boundary-Contact Problems in Acoustics, VestnicLeningradUniversity: Math. Published by the Amer. Math. Soc., No.3, 16, 139-146 (1984)

25. Vibrational Modes of Septum in an Infinite Wave-Guide, Soviet Phys. Acoust. No.1, 30, 8-9 (1984)

26. Some General Properties of Plate-Fluid System in the Presence of a Viscoelastic Layer, Soviet Phys. Acoust. No.2, 30, 90-94 (1984)

27. Fredholm Property of Boundary-Contact Problems of Acoustics, Soviet. Phys. Doklady No.10, 29, 797-799 (1984)

28. Uniqueness and Non-Uniqueness of the Solution of Boundary-Contact Acoustic Problems, J. of Soviet Math. No.5, 30, 2378-2385 (1985)

29. Boundary-Contact Problem of Acoustics in an Infinite Domain, Soviet Phys. Doklady No.7, 30, 560-562 (1985)

30. Wave Propagation along a Plate Reinforced by a Periodic Set of Beams (with V.A.Veshev), Soviet Phys. Acoust. No.4, 32, 324 (1986)

31. The Bases of the System of Eigenfunctions of the Transverse Cross-section of Wave Guides with Flexible Walls, USSR Comput. Maths. Math. Phys. No.6, 29, 51-60 (1989)

32. On Energy Flow in a Neighborhood of a Crack Tip in a Flexurally Vibrating Plate (with I.V.Andronov), Mechanics of Solids No.2, 206-209 (1990)

33. On Boundary -- Contact Acoustic Problems for a Vertically Stratified Medium Bounded from Above by a Plate with Concentrated Inhomogeneities (with I.V. Andronov), PMM USSR (J. of Applied Mathem. and Mechanics) No.3, 54, 366-371 (1990)

34. Comments on an Optical Theorem for Acoustic Scattering by Baffled Flexible Surfaces, The Journal of Sound and Vibration No.3, 139, 522-523 (1990)

35. On Boundary-Value Contact Acoustic Problems (with A.V.Badanin), Colloquium on Applications of Mathematics on the Occasion of the 80th Birthday of Lother Collatz, Hamburg Inst. on Applied Math., 28 (1990)

36. Integro-Differential Equations of the Convolution Type in Diffraction Problems (with I.V.Andronov), Colloquium on Applications of Math. on the Occasion of the 80th Birthday of Lother Collatz, Hamburg Inst. on Applied Math., p.27 (1990)

37. Allowance for Losses in a Transversely Isotropic Medium, Soviet Phys. Acoust. No.3, 37, 295-297 (1991)

38. Characteristics of the Scattering of a Plane Wave by a Finite Crack in an Elastic Plate (with I.V.Andronov), Soviet Phys. Acoust. No.4, 37, 426-427 (1991)

39. Supersymmetry and Acoustic Problems (with A.V. Badanin, V.N. Il'inskiy, and V.M.Uzdin), Theoret. Math. Phys. No.3, 90, 277-280 (1992)

40. Boundary-Value Contact Acoustic Problems for Elastic Plates, Extended Abstracts, 2nd International Conference on Mathematical and Numerical Aspects of Wave Propagation, June 7-10, University of Delaware, 90-91 (1993)

41. Oscillations of a Liquid in a Bounded Cavity with a Plate on the Boundary (with A.V.Badanin), USSR Comput. Maths. Math. Phys. No.6, 33, 829-835 (1993)

42. Scattering of a Flexural Wave by a Finite Straight Crack in an Elastic Plate, (with I.V. Andronov), J. of Sound and Vibration, 180, 1 � 16 (1995)

43. Inverse Scattering of Acoustic Waves in an Ocean with Ice Cover (with J.P. Dauer and Y. Xu), Applicable Analysis, 61, 255-283 (1996)

44. The Connection between the Scattering Diagram and the Amplitudes of the Surface Waves for Acoustic Scattering by a Baffled Flexible Plate (with I.V. Andronov and J. P. Dauer), J. of Sound and Vibration, 195, 667-673 (1996)

45. Acoustic Scattering by a Narrow Crack in an Elastic Plate (with I.V. Andronov, J.P. Dauer), Wave Motion, 24, 101-115 (1996)

46. Exact Controllability of the Damped Wave Equation (with J.P. Dauer, M.A. Shubov, and C.F. Martin), SIAM J. of Control and Optimization, 35, 1773-1789 (1997)

47. Scattering of Hydroacoustic Waves by a Narrow Cut in an Elastic Plate (with I.V. Andronov), J. of Appl. Maths. Mechs., (PMM USSR) 61, 195-202 (1997)

48. On a Regular Sturm-Liouville Problem on a Finite Interval with the Eigenvalue Parameter Appearing Linearly in the Boundary Conditions (with J.P. Dauer), Lecture Notes in Pure and Applied Mathematics, 191, Spectral Theory and Computational Methods of Sturm-Liouville Problems, 183-196 (1997)

49. Diffraction by Crack of Finite Width in Fluid Loaded Elastic Plate (with I.V. Andronov), in: 15th IMACS World Congress on Scientific Computation, Modeling and Appl. Mathematics, 3, Comput. Physics, Chemistry and Biology, Wissenschaft and Technik Verlag, Berlin, 533-538 (1997)

50. Eigenoscillations of Mechanical Systems with Boundary Conditions Containing the Frequency (with J.P. Dauer), Quarterly of Applied Mathematics, 56, No.3, 521-541 (1998)

51. Acoustic Scattering on an Elastic Plate Described by the Timoshenko Model: Contact Conditions and Uniqueness of the Solution, J. of the Acoustical Soc. of America (with I.V. Andronov), 103, 673-682 (1998)

52. Boundary Value Contact Acoustic Problems, Applicable Analysis, The Special Issue for the AMS - Chattanooga, 68, 51-73 (1998)

53. Sommerfeld's Formula and Uniqueness for the Boundary Value Contact Problems (with I.V. Andronov), J. of Physics A: Math. Gen., 31, L405-L411 (1998)

54. On Controllability of an Elastic String with a Viscous Damping (with J.P. Dauer, M.A. Shubov, and C.F. Martin), Numerical Functional Anal. and Optimization, 19, 227-255 (1998)

55. Wave Phenomena in a Wave Guide with Elastic Walls: Abstract Differential Equation Formulation (with J.P. Dauer), in: Volterra Equations and Applications, C. Corduneanu and I.W. Sandberg, eds., 10, Stability and Control: Theory Methods and Applications, Amsterdam: Gordon and Breach Sc. Publ., 149-155 (1999)

56. Existence and Uniqueness for Boundary Value Contact Problems (with I.V. Andronov), in: Partial Differential and Integral Equations, H.G.W. Begehr et al., eds., Kluiwer Academic Publ., 287-301 (1999)

57. Eigenvalue Problems for Elliptic Type Partial Differential Operators with Spectral Parameter Contained Linearly in Boundary Conditions, in: Partial Differential and Integral Equations, H.G.W. Begehr et al., eds., Kluiwer Academic Publ., 319-333 (1999)

58. The Reality of Fluid-Wave Resonance Frequencies on a Cylindrical Shell (with J.P. Dauer and H. Uberall), Acta Mechanica, 141, 117-123 (2000)

59. Wave Propagation in the Ice-CoveredOcean Wave Guide and Operator Polynomials, Proceedings of the 2nd ISAAC Congress,Vol 2. H.G.W. Begehr et. al. eds., Kluiwer Academic Publ., 1319-1333 (2000)

60. Heat Transfer in a Region with Non-uniform Boundary Conditions (with J. Hiestand), Applicable Analysis, 75, 25-42 (2000)

61. Exponential Mixture Representation of Geometric Stable Densities (with T. Kozubowski), J. of Mathematical Analysis and Applications, 246, 465-479 (2000)

62.Energy of Mechanical Systems with Uncertainty in Exterior Forces or Parameters (with P. Caithamer), Proceedings of the Joint Conf. for Applied Math. Of the Mathematical Society of Japan(RyukokuUniversity, Shiga, Japan), 223-228 (2000)

63. On the Uniqueness of the Problem of Acoustic Diffraction by an Infinite Plate with Local Irregularities (with I.V. Andronov), Acoustical Physics, 47, 3-9 (2001)

64. Energy of an Elastic Mechanical System Driven by Gaussian Noise White in Time (with P. Caithamer), Dynamical Systems and Differential Equations, 39-49 (2001)

65. Optimal Control of an Elastic String with a Viscous Damping (with S. Lenhart), Applicable Analysis, 77, 3-10 (2001)

66. Asymptotics of Eigenfrequencies and Eigenmodes of Non-homogeneous In-extensible Filament with an End Load (with C.F. Martin and M.A. Shubov), Mathematical Methods in the Applied Sciences 24,1139-1167 (2001)

67. Mathematical Aspects of Wave Phenomena in a Wave Guide with Elastic Walls and Operator Polynomials (with J.P.Dauer), in: Acoustic Interaction with Submerged Elastic Structures. Part II: Propagation, Ocean Acoustics and Scattering, 146-192, World Scientific Publishing Co. (2001)

68. On Some General Mathematical Properties of the System: Elastic Plate - Acoustic Medium, in: Acoustic Interaction with Submerged Elastic Structures. Part II: Propagation, Ocean Acoustics and Scattering, 193-218, World Scientific Publishing Co. (2001)

69. Acoustic Scattering from an Elastic Plate Supported by a Rigid Narrow Rib (with I.V. Andronov), Wave Motion, 35, 277-287 (2002)

70. Energy of a String Driven by a Two-Parameter Gaussian Noise White in Time (with P. Caithamer), J. Applied Probability, 38,960-974 (2002)

71. Stochastic Stability of Some Mechanical Systems (with P.Caithamer), Applicable Analysis, 81, 1375-1402 (2002)

72. The Optimal Design of a Turbine (with C. M. McCarthy and T. J. Walters), European Series in Applied and Industrial Mathematics: Control, Optimization and Calculus of Variations (ESAIM: COCV), 9, pp. 217-230 (2003)

73. Controllability of a String under Tension (with S. A. Avdonin), Discrete and Continuous Dynamical Systems: A Supplement Volume, 57-67(2003)

Stability of Dynamical Systems with a Multiplicative White Noise (with P. Caithamer), Stochastics and Dynamics, 3, No.2,187-212 (2003)

74. Stochastic Stability of Some Mechanical Systems with a Multiplicative White Noise (with P.Caithamer), Discrete and Continuous Dynamical Systems: A Supplement Volume, 91-99 (2003)

75. Stability of Dynamical Systems with a Multiplicative White Noise (with P. Caithamer), Stochastics and Dynamics, 3, No.2, 187-212 (2003)

76. Some Mathematical and Numerical Aspects of Acoustic Scattering (with I. V. Andronov, Y. Xu, R. Gilbert), Recent Res. Devel. Acoustics, 1, 171-203 (2003)

77. On the Basis Properties of the Functions Arising in the Boundary Control Problem of a String with a Variable Tension (with S.A. Avdonin), Discrete and Continuous Dynamical Systems: A Supplement Volume, 40-49(2005)

78. On Controllability of a Rotating String (with S.A. Avdonin), J. of Mathematical Analysis and Applications, 321, Issue 1, 198-212 (2006)

79. The Stability of a Wing in a Flow (with J.R. Graef and R.E. Melnik), Neural, Parallel & Scientific Computations, 14, 75-96 (2006)

80. Modeling a Wing in an Air Flow (with J.R. Graef and R. E. Melnik), Colloquium on Differential and Difference Equations CDDE 2006 Proceedings (O. Dosly and P. Rehak, Editors), Folia FSN Universitatis Masarykianae Brunensis, Mathematica 16, 21-31 (2007).

81. Gevrey's and Trace Regularity of a Semigroup   Associated with Beam Equation and Non-monotone Boundary Conditions (with I. Lasiecka), Journal of Mathematical   Analysis and Applications, 332, Issue 1, 137-154 (2007)

doi:10.1016/j.jmaa.2006.10.025

82. Optimal Design of an Optical Length of a Rod with the Given Mass, Discrete and Continuous Dynamical Systems (DCDS Supplements), 2007, 85-91 (2007)

83. Energy Estimate For the Wave Equation Driven By a Fractional Gaussian Noise (with P. Caithamer), Discrete and Continuous Dynamical Systems (DCDS Supplements), 2007, 92-101 (2007)

84. The Energy of the Stochastic Wave Equation Driven by a Fractional Gaussian Noise (with P. Caithamer), Random Operators and Stochastic Equations, 15, Issue 4, 303-326 (2007)

85. The Schwarz Reflection Principle for Harmonic Functions in R2 Subject to the Robin Condition (with T.V. Savin), J. Math Analysis and Applications 348, 685-691 (2008)

86. Existence Criteria for Solutions of Linear Stochastic Differential Equations with Skew-Symmetric Differential Operator and Additive Fractional Brownian Noise (withP. Caithamer), Stochastics and Dynamics 9, No. 1, 153-167 (2009)

87. A Double Sum with the Gamma Function (with O. Saleh and T. Walters), The College Mathematics Journal 1, Vol. 40, 59-60 (2009)

88. On Controllability of an Elastic Ring (with S.A. Avdonin and S.A. Ivanov), Applied Mathematics and Optimization 60, No. 1, 71-103 (2009)

89. Some Nonlinear and Nonlocal Sturm-Liouville Problems Motivated by the Problem of Flutter (with J. V. Matthews), E. J. Qualitative Theory of Diff. Equations, Spec. Ed. I, No. 7, 1-15 (2009)

90. Controllability of a Nonhomogeneous String and Ring under Time Dependent Tension (with S. A. Avdonin and L. Pandolfi), Mathematical Modeling of Natural Phenomena 5, No. 4, 4-31 (2010)

91. Dynamical Inverse Problem on a Metric Tree (with S.A. Avdonin and J.V. Matthews), Inverse Problems 27, No. 7 (2011)

http://iopscience.iop.org/0266-5611/27/7/075011/  

92. Inverse Problem on the Semi-axis: Local Approach (with S.A. Avdonin and J.V. Matthews), Tamkang J. of Mathematics 42, No. 3, 275-293 (2011)

93. Undamped Nonlinear Beam Excited by Additive L^2-Regular Random Noise (with H. Schurz), J. of Computational and Applied Mathematics 235, Issue 17, 5284–5306 (2011)

94. Optimal design of a bar with an attached mass for maximizing the heat transfer (with James W. Hiestand and Maeve L.McCarthy), Electron. J. Diff. Equations,Vol. 2012, No. 181, pp. 1-13 (2012) http://ejde.math.txstate.edu/Volumes/2012/181/belinskiy.pdf

95. On controllability of a non-homogeneous elastic string with memory (with S. A. Avdonin), J. of Math Analysis and Applications, 398, 254-269 (2013) http://dx.doi.org/10.1016/j.jmaa.2012.08.037

Students’ Papers

1. A Nonlinear Sturm-Picone Comparison Theorem for Dynamic Equations on Time Scales (with J.R. Graef and S. Petrovic), International Journal of Difference Equations, 2, Issue 1, 25-35 (2007).

Papers in Preparation

1. Exact Controllability of Beam with Memory (with S.A. Avdonin)

2. Heat Transfer in a Region with Non-uniform Boundary Conditions - II (with J.Hiestand)

 

Abstracts and Presented Lectures

1. Boundary--Value Contact Problems as a Division of Math. Physics, Abstracts of Papers Presented to the American Math. Soc. No.1, 13, 73 (1992)

2. Boundary--Value Contact Acoustic Problems for Elastic Plates, Extended Abstracts of Papers Presented to the 2nd Internat. Conf. on Math. and Numerical Aspects of Wave Propagation, The Univ. of Delaware, 90-91 (1993)

3. The Basicity of Eigenfunctions for some Mechanical Systems and Operator Polynomials, Abstracts of Papers Presented to the American Math. Soc. No.1, 15, 105-106 (1994)

4. Operator Polynomials and One-Dimensional Mechanical Systems (with J.P. Dauer), Abstracts of Papers Presented to the Southern Analysis Meeting, XI, Georgia Tech (1995)

5. On Connection Between Acoustics and Quantum Mechanics, Abstracts of Papers Presented to the American Math. Soc. No.1, 17, 78 (1996)

6. Wave Phenomena in a Wave Guide with Elastic Walls: Abstract Differential Equation Formulation, Abstracts of Papers Presented at the Volterra Centennial Symposium (with J.P. Dauer), The Univ. of Texas at Arlington, 7 (1996)

7. Boundary Value Contact Acoustic Problems, Abstracts of Papers Presented to the American Math. Soc., 553 (1996)

8. Eigenvalue Problems for Elliptic Type PDE with Eigenvalue Parameter Contained Linearly in Boundary Conditions, Abstracts of Papers Presented to the Third Midwest--Southeastern Atlantic Joint Regional Conf. on Differential Equations, VanderbiltUniv. (1997)

9. Optimal Control of an Elastic String with a Viscous Damping (with S. Lenhart), Abstracts of Papers Presented at the Fourth SIAM Conf. on Control & Its Applications, Jacksonville, Florida, 42-43 (1998)

10. Ice-CoveredOcean Wave-Guides and Operator Polynomials, Abstracts of Papers Presented to the 936th Meeting of the American Math. Soc., Wake Forest Univ., Winston-Salem, North Carolina, 462 (1998)

11. Eigenvalue Problems with the Spectral Parameter in Boundary Conditions and Related Applied Problems, invited lecture at the Ninth Internat. Colloquium on Differential Equations, Plovdiv, Bulgaria (1998)

12. Exact Controllability of a Hanging Cable (with M.A. Shubov), Abstracts of Papers Presented to the Southeastern- Atlantic Regional Conf. on Differential Equations, Univ. of Richmond, Richmond, Virginia (1999)

13. Acoustic Excitation of Scholte-Stoneley and Lamb Waves on a Reinforced Cylindrical Shell, (with O. Poncelet, A. ��Gerard, H. Uberall, and J. Dauer), Invited talk presented (by co-author) to the Fourth International Conf. on Theoretical �and Computational Acoustics, Stazione Marittima, Trieste, Italy,) (1999)

14. Stochastic Integral Equations and Random Oscillations of Mechanical Systems (with P. Caithamer), Abstracts of Papers Presented to the American Math. Soc., (2000)

15. Uniqueness and Non-Uniqueness for Boundary-Contact Value Problems of Acousto-elastic Scattering (with I.V. Andronov), Abstracts of Papers presented to the Symposium ``Theory of Partial Differential Equations and Special Topics of Theory of Ordinary Differential Equations� dedicated to 150-th anniversary of birthday of Sofia V. Kovalevskaya'', St. Petersburg, Russia, 8-9 (2000)

16. Oscillations of a Rotating String with a Random Frequency (with P. Caithamer), Abstracts of Papers Presented to the Southeastern-Atlantic Regional Conf. on Differential Equations, Virginia Tech, Blacksburg, Virginia (2000)

17. Random Excitation of the Linear Mechanical Systems, (with P. Caithamer), Abstracts of Papers Presented to the 960th Meeting of the American Math. Soc., (2000)

18. Stochastic Stability of Some Mechanical Systems (with P. Caithamer), Abstracts of Papers Presented to the 970th Meeting of the American Math. Soc., (2001)

19. Stability of a General Mechanical System with a White Noise in Parameters (with P. Caithamer), Abstracts of Papers Presented to the 2002 International Conference on Differential Equations and Mathematical Physics, Univ. of Alabama at Birmingham, Alabama (2002)

20. Exact Control of a String under an Axial Stretching Tension (with S.A.Avdonin), Abstracts of Papers Presented to the 4th International Conf. on Dynamical Systems and Differential Equations, Univ. of North Carolina, Wilmington (2002)

21. Stability of Mechanical Systems with Multiplicative White Noise (with P. Caithamer), Abstracts of Papers Presented to the 4th International Conf. on Dynamical Systems and Differential Equations, Univ. of North Carolina, Wilmington (2002)

22. Optimal Design of Turbins (with C.M. McCarthy), Abstracts of Papers Presented to the 4th International Conf. on Dynamical Systems and Differential Equations, Univ. of North Carolina, Wilmington (2002)

23. Some New Developments in the Exact Control Theory (with S. A. Avdonin), Invited lecture presented at the IndianaUniversityPurdueUniversity at Indianapolis, 09/10/02

24. Stochastic Stability of Some Mechanical Systems with Multiplicative White Noise in their Parameters (with P. Caithamer), Invited lecture presented at the ``Differential Equations Weekend�, MemphisUniversity, 09/28/02

25. New Developments in the Exact Control Theory (with S. A. Avdonin), Invited lecture presented at the Murray State University, KY, 09/30/02

26. Some New Results in the Exact Control Theory (with S. A. Avdonin), Invited lecture presented at the 22nd Southeastern-Atlantic Regional Conference on Differential Equations, University of Tennessee at Knoxville, 10/12/02

27. New Results in the Exact Control Theory (with S. A. Avdonin), Invited lecture presented at the Vanderbilt University, /� /02

28. Boundary Value Contact Problems, Invited lecture presented at the Louisiana State University, 04/14/03

29. New Results in the Control Theory (with S. A. Avdonin), Invited lecture presented at the Louisiana Conf. on Mathematical Control Theory (MCT'03), 05/12/03

30. Some New Results on Controllability of Mechanical Models (with S. A. Avdonin), Abstracts of Papers Presented to the Southeastern- Atlantic Regional Conf. on Differential Equations, KennesawUniv., Oct. 2003

31. Basis property of some exponential and quasi-exponential functions and controllability of a string (with S. A. Avdonin), Abstracts of Papers Presented to the American Math. Soc., 995, p.70 (2004)

32. Exact Controllability of a String: New Developments (with S. A. Avdonin), Abstracts of papers presented to the AIMS' 5th International Conference on Dynamical Systems and Differential Equations, CaliforniaStatePolytechnicUniversity, Pomona, CA, USA, June 16 -- 19, 2004, p. 151.

33. Exact Controllability of a String: New Developments (with S. A. Avdonin), Abstracts of Papers Presented to the Southeastern- Atlantic Regional Conf. on Differential Equations, UTC, Oct. 2004

34. On the Stability of a Wing in a Flow: A Nonlinear Sturm-Liouville Problem (with J. R. Graef), Abstracts of Papers Presented to the Mississippi St.-UAB Differential Equation Conference, May 13-14 (2005)

35. Basis Properties of the Operator Polynomial Arising From the Aeroelastic Stability Problem, Abstract of Papers Presented to the Southeastern- Atlantic Regional Conf. on Differential Equations, Univ. of Dayton, OH, Oct. 2005

36. On the Connection Between a Non-linear Sturm-Liouville Problem and a Quasi-KdV Equation (with J. R. Graef), Abstracts of Papers Presented to the 1010th Meeting of the American Math. Soc., Johnson City, TN, p.28 (2005)

37. Exact Controllability of Some 1D Mechanical Systems With Parameters That Vary in Time (with S. A. Avdonin), Abstracts of Papers Presented to the Conference ``New Trends in Material Design of Complex Systems in Space and Time", Worcester Polytechnic Institute, Boston, MA (2005).

38. Optimal Design of an Optical Length of a Rod With the Given Mass, Abstracts of Papers Presented to the AIMS 6th International Conference on Dynamical Systems, Differential Equations, and Applications, Poitiers, France, June 25 – 28, 2006, p. 66.

39. Energy of a General Linear Wave Equation Driven by Fractional-in-Time Noise (with P. Caithamer), Abstracts of Papers Presented to the AIMS 6th International Conference on Dynamical Systems, Differential Equations, and Applications, Poitiers, France, June 25 – 28, 2006, p. 66.

40. The stability of a wing in a flow (with J.R. Graef and R. E. Melnik), An invited plenary lecture presented by J.R. Graef at the Third International Conference on Neural, Parallel and Scientific Computations, held at Morehouse College, Atlanta, Georgia, August 9--12, 2006.

41. Modeling a wing in an air flow (with J.R. Graef and R. E. Melnik), An invited plenary lecture presented by J.R. Graef at the CDDE 2006, the ``Colloquium on Differential and Difference Equations," held in Brno, Czech   Republic, September 5--8, 2006.

42. A nonlinear Sturm-Picone comparison theorem for dynamic equations on time scales (with J.R. Graef and S. Petrovic), Abstracts of Papers Presented to the 113th Annual Meeting of the American Math. Soc., New Orleans, LA, Jan. 5 – 8, V. 28, No.1, p.115 (2007).

43. Analysis and numerical solution of a non-local ODE motivated by flutter (with J. V. Matthews), Abstracts of Papers Presented to the American Math. Soc. No. 1, v. 31, issue 159, p. 109 (2010)

44A Dynamical inverse problem on a metric graph (with J. V. Matthews and S. A. Avdonin), AMS-SIAM Special Session on Control and Inverse Problems for Partial Differential Equations, II (1067-35-599) (2011)

45. Numerical Solution for a Dynamical Inverse Problem on a Metric Tree, (with J. V. Matthews), 7th International Congress on Industrial and Applied Mathematics (ICIAM 2011), 20 July 2011, Vancouver, BC, Canada

46. A Local Approach for an Inverse Problem on a Semi-Axis (with John V Matthews), Abstracts of Papers Presented to the American Math. Soc. No. 1, v. 33, issue 167, p. 156 (2012)

Meetings with Talks (no abstracts)

1. Symposium in Honor of Pr. Herbert Uberall on the Occasion of his Retirement from The Catholic Univ. of America at The Catholic Univ. of America, Washington, D.C. (1995)

2, 3. First Congress of the International Society for Analysis, Applications and Computation (ISAAC'97), Newark, Delaware (two talks, one with I.V. Andronov) (1997)

4. The SIAM / SEAS Meeting, Knoxville, UTK (1999)

5. The Y2K International Conf. on Dynamical Systems and Differential Equations, Kennesaw State Univ. (with P. Caithamer) (2000)

6. The Twentieth Annual Southeastern-Atlantic Regional Conf. on Differential Equations, Virginia Tech, Blacksburg, Virginia (with P. Caithamer) (2000)

7. The 1st Joint Meeting of the American Math Soc. and New Zealand Math Soc., Wellington, New Zealand (2007)

8. Symposium to mark the retirement of Professor Boris S Pavlov With Special Emphasis on Modern Trends in Spectral and Inverse Problems, The Univ. of Auckland, New Zealand (2007)

9. Midwest Partial Differential Equations Seminar at University of Memphis, November 3-4, 2012

II. In Russian (not translated in English)

Papers in the Refereed Journals

1. On Regular-faced Polyhedrons (with a group of co-authors, the leading author V.A.Zalgaller), Vestnic Leningrad Univ.: Math., No.1, 1, (1965)

2. The Convex Polyhedrons with Regular Sides (with a group of co-authors, the leading author V.A.Zalgaller), Notes of Sc. Seminars of Leningrad Stecklov Math. Instit. 2, (1967)

3. State of Plane Stress in a Circular Ring with a Crack (with A.Z.Lokshin), in: Application of Numerical Methods in Ship Design No.198 (1973)

4. Diffraction of Short Waves on a Rigid Beam Under Tension in an Elastic Plate, Problems of Dynamic Theory of Seismic Wave Propagation, Leningrad Stecklov Mathem. Instit. No. 12, 26-31 (1974)

5. Diffraction of a Hydro-Acoustic Wave on a System of Rigid Beams in an Elastic Plate, Problems of Dynamic Theory of Seismic Wave Propagation, Leningrad Stecklov Mathem. Instit. No. 12, 20-25 (1974)

6. Sound Transmission through a Plate Supported by a Protruding Stiffener, Vestnic Leningrad Univ.: Physics-Chemistry No.22(4), 25-31 (1980)

7. On the Principal Identities of the Law of Conservation of Energy and the Reciprocity Principle for the Plate � Liquid System, Vestnic Leningrad University: Physics-Chemistry No.22(4), 90-93 (1983)

8. Exact Solution of the Problem of Diffraction of a Plane Wave on a Plate, Supported by Two Periodic Sets of Rigid Beams (with S.B.Egorov), VestnicLeningradUniversity: Physics-Chemistry No.4(1), 15-20 (1986)

9. On the Study of the Coefficient of Reflection of Slow Electrons by the Full Current Spectroscopy Method (with M.A.Shalaev), The Journal of Technical Phys. No.12, 58, 2360-2366 (1988)

10. On the Space Correlation Matrix for the Field of a Periodically Supported Plate (with V.A.Veshev), in: Mathem. Methods of Applied Acoustics II (1990)

Refereed Proceedings

1. Two-dimensional Problems of Elastic Waves' Diffraction on a Semi-infinite Screen (with D.P.Kouzov), Proc. of the 5th USSR Symp. on Diffraction and Wave Propagation (1970)

2. The Scattering of a Bending Wave on a T-shaped Conjunction of Plates Submerged in a Fluid (with D.P.Kouzov and V.D.Cheltsova), Proc. of the 7th USSR Symp. on Phys. and Tech. Acoust. (1973)����������������������������

3. The Hydro-acoustic Wave Diffraction on a System of Rigid Beams in an Elastic Plate, Proc. of the 8th USSR Acoust. Symp. (1973)

4. Boundary Value Contact Problems of Acoustic Diffraction (with I.P. Konovalyk, D.P. Kouzov, and V.D. Lukianov), Proc. of the 6th

USSR Symp. on Diffraction and Wave Propagation 2 (1973)

5. The Analysis of the Influence of a Crack on the State of Stress in a Circular Orthotropic Ring (with Y.S.Belinskaya and A.Z.Lokshin), Proc. of the 6th Far Eastern Sc.-Tech. Meeting on Damages and Exploitation Reliability of Vessel Constructions (1975)

6. Applications of the Factorization Method to the Analysis of the Bend of Circular Plates under Variable Boundary Conditions (with A.Z.Lokshin), Proc. of the USSR Sc.-Tech. Meeting on Improvements of Strength Analysis Methods for the Vessel Constructions (1976)

7. Sound Radiation from a Plate Supported by Protruding Stiffener, Proc. of the 9th USSR Acoust. Symp. (1977)

8. Diffraction of a Plane Wave on a Plate Supported by a Protruding Stiffener, Proc. of the 7th USSR Symposium on Diffraction and Wave Propagation, III (1977)�����������������������������

9. Stability, Oscillations, and Bend of the Plates under Variable Boundary Conditions (with A.Z.Lokshin), Proc. of the USSR Meeting on Mixed Problems in Mechanics of Solid 2 (1977)

10. On Influence of Losses on Propagation of Flexural Waves in a Supported Plate of Finite Width (with V.A.Veshev, I.I.Klukin, and D.P.Kouzov), Proc. of the 9th USSR Acoust. Symp. (1977)

11. On Applications of the Riemann-Hilbert Problems Method to the Analysis of Stability, Oscillations, and Bending of the Plates with Mixed Boundary Conditions (with A.Z.Lokshin), Strength of the Ship Constructions, Proc. of the Leningrad Shipbuilding Univ. (1978)

12. The Influence of the Mixed Boundary Conditions on Oscillations of the Rectangular Orthotropic Plates (with A.Z.Lokshin), Proc. of the 7th Far Eastern Sc.-Tech. Meeting on Damages and Exploitation Reliability of Vessel Constructions (1978)

13. The Influence of Defects in a Supported Plates Junction on Eigen Frequencies (with A.Z.Lokshin), Proc. of the USSR Tech. Symp. on Problems of Strength and Reliability of the Prospective Transport Vessels (1979)

14. Stability of Deck Flooring with a Biregular System of Beams (with Y.S.Belinskaya, and A.Z.Lokshin), Proc. of the 8th Far Eastern Sc.-Tech. Meeting on Damages and Exploitation Reliability of Vessel Constructions (1981)

15. Boundary Value Contact Problems for Wave-Guides and Periodic Structures (with D.P.Kouzov, and others), in: Waves and Scattering. Proc. of the 8th USSR Symp. on Diffraction and Wave Propagation, 3 (1981)

16. The Sound Transmission through a Supported Plate, Proc. of the 2nd USSR Symp. on Physics of Acoustic&Hydrodynamic Phenomena (1982)

17. The Influence of a Doubly Periodic Set of Rigid Ribs on Acoustic Properties of an Elastic Plate, Proc. of the 2nd USSR Symp. on Physics of Acoustic-Hydrodynamic Phenomena (1982)

18. Optical Theorem for a Plate-Fluid System (with D.P.Kouzov), Proc. of the 2nd USSR Symp. on Physics of Acoustic-Hydrodynamic Phenomena (1982)

19. The Influence of a Viscoelastic Layer on Acoustic Properties of a Supported Plate, Proc. of the 5th USSR Symp. on Technical Methods of Ocean Study ("Ocean Technique - 85"), 2 (1985)

20. On the Acoustic Field of the Plate Supported by Two Periodic Sets of Beams (with S.B.Egorov), Proc. of the 5th USSR Symp. on Technical Methods of Ocean Study ("Ocean Technique - 85") 2 (1985)

21. The Spectral Properties of the Boundary Value Contact Acoustic Problems in Arbitrary Domains, in: Waves and Scattering. Proc. of the 9th USSR Symp. on Diffraction and Wave Propagation, 2 (1985)

22. On the Integral Equation Method in Boundary Value Contact Acoustic Problems (with V.A.Veshev, and L.A.Levitskiy), in: Waves and Scattering. Proc. of the 9th USSR Symp. on Diffraction and Wave Propagation, 2 (1985)

23. On Sound Pressure of a Periodically Reinforced Plate under the Action of a Random Load (with V.A.Veshev), in: Acoust. Methods of the Exploration of an Ocean. Proc. of the 4th Far Eastern Meeting on Acoust. Meth. of the Exploration of an Ocean (1986)

24. Diffraction on a Finite Crack in an Elastic Plate (with I.V.Andronov), Proc. of the 4th USSR Symp. on Mixed Problems in Mechanics of Solid 1 (1989)

25. The Sound Propagation in a Fluid under the Elastic Plate with a Crack or an Icy Mass (with I.V.Andronov), Proc. of the USSR Symp. on Interaction of Acoustic Waves with Elastic Bodies (1989)

26. Integro-Differential Equations of the Convolution Type Arising from Scattering Problems at Obstacles of the Segment Type (with I.V.Andronov) Proc. of the USSR Symp. on Integral Equations and Boundary Value Problems of Mathematical Physics (1990)

27. On Boundary-Value Contact Acoustic Problems (with A.V.Badanin), Proc. of the USSR Symp. on Integral Equations and Boundary Value Problems of Mathematical Physics (1990)

28. On Diffraction Problems for Acoustic Waves Leading to Integro--Differential Equations of the Convolution Type (with I.V. Andronov), in: Waves and Scattering. Proc. of the 10th USSR Symp. on Diffraction and Wave Propagation, 1 (1990)

29. Boundary Operators of the High Order for Maxwell Equations, Proceedings of the 10th Colloquium on Diffraction and Wave Propagation, Moscow, NIIRF, 5-30 (1993)

Thesis Defended

1. On Factorization Method in Elastic and Acoustic Diffraction Problems, Ph.D. Thesis, St.Petersburg (Leningrad) StateUniversity, St. Petersburg (1972)

2. On the Regularization Method in Diffraction Problems on Supported Plates, D.Sc. Thesis, St. Petersburg (Leningrad) State University, St. Petersburg (1986)

 

 

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