| Year |
Title |
| 2023
|
Analytical study of a model of fluid flow through a channel with flexible walls.
Mathematical Methods in the Applied Sciences.
46:6875-6909.
2023
|
| 2021
|
Stability of Fluid Flow through a Channel with Flexible Walls.
International Journal of Mathematics and Mathematical Sciences.
2021:1-12.
2021
|
| 2019
|
Location of eigenmodes of Euler-Bernoulli beam model under fully non-dissipative boundary conditions..
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
475:20190544.
2019
|
| 2018
|
Asymptotic and Spectral Analysis of a Model of the Piezoelectric Energy Harvester with the Timoshenko Beam as a Substructure.
Applied Sciences.
8:1434-1434.
2018
|
| 2018
|
Asymptotic and spectral analysis of a model of the piezoelectric energy harvester with the Timoshenko beam as a substructure.
APPLIED SCIENCES, 2018, 8, 1434; doi:10.3390..
18:1434-1434.
2018
|
| 2018
|
Spectral analysis of the Euler-Bernoulli beam model with fully nonconservative feedback matrix.
Mathematical Methods in the Applied Sciences.
41:4691-4713.
2018
|
| 2017
|
Aerodynamic performance of ultra long range projectiles.
MATHEMATICS IN ENGINEERING, SCIENCE, AND AEROSPACE.
8:3-27.
2017
|
| 2017
|
Spectral analysis of a non-selfadjoint operator generated by an energy harvesting model and application to an exact controllability problem.
Asymptotic Analysis.
104:119-156.
2017
|
| 2016
|
Asymptotic and spectral analysis and control problems for mathematical model of piezoelectric energy harvester, (jointly with V. Shubov),.
MATHEMATICS IN ENGINEERING, SCIENCE, AND AEROSPACE , 7, (2), 2016, p.249-268..
7:249-268.
2016
|
| 2016
|
Stability of a flexible structure with destabilizing boundary conditions.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
472:20160109-20160109.
2016
|
| 2016
|
Asymptotic Representation for the Eigenvalues of a Non-selfadjoint Operator Governing the Dynamics of an Energy Harvesting Model.
Applied Mathematics and Optimization.
73:545-569.
2016
|
| 2016
|
Stability of a flexible structure with destabilizing boundary conditions,” (jointly with V. Shubov),.
Proceedings of the Royal Society, A, 472, 2016, DOI: 10.1098/rspa.2016.0109..
472.
2016
|
| 2014
|
On fluttering modes for aircraft wing model in subsonic air flow..
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
470:20140582.
2014
|
| 2014
|
On the completeness of root vectors generated by systems of coupled hyperbolic equations.
Mathematische Nachrichten.
287:1497-1523.
2014
|
| 2014
|
Spectral asymptotics, instability and Riesz basis property of root vectors for Rayleigh beam model with non-dissipative boundary conditions.
Asymptotic Analysis.
87:147-190.
2014
|
| 2012
|
Spectrum rearrangement via feedback control for nonhomogeneous damped string.
IMA Journal of Mathematical Control and Information.
29:33-62.
2012
|
| 2011
|
Sampling theorem for bandlimited Hardy space functions generated by Regge problem.
Applied and Computational Harmonic Analysis.
31:125-142.
2011
|
| 2011
|
On the completeness of root vectors of a certain class of differential operators.
Mathematische Nachrichten.
284:1118-1147.
2011
|
| 2011
|
Four-branch vibrational spectrum of double-walled carbon nanotube model.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
467:99-126.
2011
|
| 2010
|
Vibrational frequency distribution for nonconservative model of double-walled carbon nanotube.
Applied Mathematics and Computation.
217:1246-1252.
2010
|
| 2010
|
Mathematical analysis of carbon nanotube model.
Journal of Computational and Applied Mathematics.
234:1631-1636.
2010
|
| 2010
|
Asymptotical distribution of eigenvalues of dynamics generator governing vibrations of double-walled carbon nanotube model.
Asymptotic Analysis.
68:89-123.
2010
|
| 2010
|
Numerical Investigation of Aeroelastic Mode Distribution for Aircraft Wing Model in Subsonic Air Flow.
Mathematical Problems in Engineering.
2010:1-23.
2010
|
| 2010
|
SOLVABILITY OF REDUCED POSSIO INTEGRAL EQUATION IN THEORETICAL AEROELASTICITY.
Advances in Differential Equations.
15:801-828.
2010
|
| 2009
|
Asymptotical form of Possio integral equation in theoretical aeroelasticity.
Asymptotic Analysis.
64:213-238.
2009
|
| 2008
|
Double-wall nanotube as vibrational system: Mathematical approach.
Mathematical Methods in the Applied Sciences.
31:1887-1904.
2008
|
| 2008
|
Exact controllability of nonselfadjoint Euler-Bernoulli beam model via spectral decomposition method.
IMA Journal of Mathematical Control and Information.
25:185-204.
2008
|
| 2008
|
Reduction of Boundary Value Problem to Possio Integral Equation in Theoretical Aeroelasticity.
Journal of Applied Mathematics.
2008:1-27.
2008
|
| 2006
|
Generation of Gevrey class semigroup by non-selfadjoint Euler-Bernoulli beam model.
Mathematical Methods in the Applied Sciences.
29:2181-2199.
2006
|
| 2006
|
Exact controllability of damped coupled Euler-Bernoulli and Timoshenko beam model.
IMA Journal of Mathematical Control and Information.
23:279-300.
2006
|
| 2006
|
Riesz basis property of mode shapes for aircraft wing model (subsonic case).
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
462:607-646.
2006
|
| 2006
|
Flutter phenomenon in aeroelasticity and its mathematical analysis.
Journal of Aerospace Engineering.
19:1-12.
2006
|
| 2005
|
Spectral operators generated by bending-torsion vibration model with two-end energy dissipation.
Asymptotic Analysis.
45:133-169.
2005
|
| 2005
|
Asymptotic distribution of eigenvalues for damped string equation: Numerical approach.
Journal of Aerospace Engineering.
18:69-83.
2005
|
| 2004
|
Asymptotic behaviour of the aeroelastic modes for an aircraft wing model in a subsonic air flow.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
460:1057-1091.
2004
|
| 2004
|
Mathematical modeling and analysis of flutter in bending-torsion coupled beams, rotating blades, and hard disk drives.
Journal of Aerospace Engineering.
17:56-69.
2004
|
| 2004
|
Mathematical modeling and analysis of flutter on long-span suspension bridges and in blood vessel walls.
Journal of Aerospace Engineering.
17:70-82.
2004
|
| 2004
|
Asymptotic and spectral properties of operator-valued functions generated by aircraft wing model.
Mathematical Methods in the Applied Sciences.
27:329-362.
2004
|
| 2004
|
Asymptotic analysis of nonselfadjoint operators generated by coupled Euler-Bernoulli and Timoshenko beam model.
Mathematische Nachrichten.
267:88-109.
2004
|
| 2004
|
Spectral analysis of coupled Euler-Bernoulli and Timoshenko beam model.
Journal of Applied Mathematics and Mechanics (ZAMM).
84:291-313.
2004
|
| 2003
|
Asymptotic and spectral analysis of non-selfadjoint operators generated by a filament model with a critical value of a boundary parameter.
Mathematical Methods in the Applied Sciences.
26:213-245.
2003
|
| 2002
|
Asymptotic and spectral analysis of the spatially nonhomogeneous Timoshenko beam model.
Mathematische Nachrichten.
241:125-162.
2002
|
| 2001
|
Asymptotics of eigenfrequencies and eigenmodes of non-homogeneous inextensible filament with an end load.
Mathematical Methods in the Applied Sciences.
24:1139-1167.
2001
|
| 2001
|
Asymptotic representations for root vectors of nonselfadjoint operators and pencils generated by an aircraft wing model in subsonic air flow.
Journal of Mathematical Analysis and Applications.
260:341-366.
2001
|
| 2001
|
Asymptotic analysis of aircraft wing model in subsonic air flow.
IMA Journal of Applied Mathematics.
66:319-356.
2001
|
| 2001
|
Asymptotics of aeroelastic modes and basis property of mode shapes for aircraft wing model.
Journal of the Franklin Institute.
338:171-185.
2001
|
| 2000
|
Riesz basis property of root vectors of non-self-adjoint operators generated by aircraft wing model in subsonic airflow.
Mathematical Methods in the Applied Sciences.
23:1585-1615.
2000
|
| 2000
|
Transformation operators for class of damped hyperbolic equations.
Asymptotic Analysis.
24:183-208.
2000
|
| 1999
|
Spectral operators generated by Timoshenko beam model.
Systems and Control Letters.
38:249-258.
1999
|
| 1999
|
Boundary and distributed controllability of the damped wave equation: Reduction of control time.
Journal of Mathematical Analysis and Applications.
240:16-36.
1999
|
| 1998
|
Exact boundary and distributed controllability of radial damped wave equation.
Journal de Mathematiques Pures et Appliquees.
77:415-437.
1998
|
| 1998
|
Asymptotics of spectrum and eigenfunctions for nonselfadjoint operators generated by radial nonhomogeneous damped wave equations.
Asymptotic Analysis.
16:245-272.
1998
|
| 1998
|
On controllability of an elastic string with a viscous damping.
Numerical Functional Analysis and Optimization.
19:227-255.
1998
|
| 1997
|
Nonselfadjoint operators generated by the equation of a nonhomogeneous damped string.
Transactions of the American Mathematical Society.
349:4481-4499.
1997
|
| 1997
|
Exact controllability of the damped wave equation.
SIAM Journal on Control and Optimization.
35:1773-1789.
1997
|
| 1997
|
Spectral operators generated by damped hyperbolic equations.
Integral Equations and Operator Theory.
28:358-372.
1997
|
| 1996
|
Asymptotics of resonances and eigenvalues for nonhomogeneous damped string.
Asymptotic Analysis.
13:31-78.
1996
|
| 1996
|
Basis property of eigenfunctions of nonselfadjoint operator pencils generated by the equation of nonhomogeneous damped string.
Integral Equations and Operator Theory.
25:289-328.
1996
|
| 1995
|
STARK QUANTUM-DEFECT FOR HIGH RYDBERG STATES OF 3-DIMENSIONAL SCHRODINGER OPERATOR WITH SCREENED COULOMB POTENTIAL.
Il Nuovo Cimento B Series 10.
110:1057-1092.
1995
|
| 1994
|
LOW-ENERGY CHAIN OF RESONANCES FOR 3-DIMENSIONAL SCHRODINGER OPERATOR WITH NEARLY COULOMB POTENTIAL.
Journal of Differential Equations.
114:168-198.
1994
|
| 1994
|
HIGH-ENERGY ASYMPTOTICS OF RESONANCES FOR 3-DIMENSIONAL SCHRODINGER OPERATOR WITH SCREENED COULOMB POTENTIAL.
Journal of Mathematical Physics.
35:656-674.
1994
|
| 1994
|
RESONANCE SELECTION PRINCIPLE AND LOW-ENERGY RESONANCES FOR A RADIAL SCHRODINGER OPERATOR WITH NEARLY COULOMB POTENTIAL.
Journal of Mathematical Analysis and Applications.
181:600-625.
1994
|
| 1991
|
ASYMPTOTICS OF THE DISCRETE SPECTRUM FOR A RADIAL SCHRODINGER OPERATOR WITH NEARLY COULOMB POTENTIAL.
Integral Equations and Operator Theory.
14:586-608.
1991
|
| 1990
|
CERTAIN CLASS OF UNCONDITIONAL BASES IN HILBERT-SPACE AND ITS APPLICATIONS TO FUNCTIONAL-MODEL AND SCATTERING-THEORY.
Integral Equations and Operator Theory.
13:750-770.
1990
|
| |
Asymptotic and spectral analysis of a model of the piezoelectric energy harvester with the Timoshenko
beam as a substructure Applied Sciences, 2018, 8, 1434; doi:10.3390..
APPLIED SCIENCES, 2018, 8, 1434; doi:10.3390..
8:1434-1434.
|
| |
Asymptotic distribution of the eigenvalues of the bending‐torsion vibration model with fully nondissipative boundary feedback.
Studies in Applied Mathematics.
|
