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Asymptotic and Spectral Analysis of the Spatially Nonhomogeneous Timoshenko Beam Model
We develop spectral and asymptotic analysis for a class of nonselfadjoint operators which are the dynamics generators for the systems governed by the equations of the spatially nonhomogeneousExpand
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Spectral operators generated by Timoshenko beam model
We announce a series of results on the spectral analysis for a class of nonselfadjoint operators which are the dynamics generators for the systems governed by the equations of the Timoshenko beamExpand
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Asymptotic and spectral properties of operator‐valued functions generated by aircraft wing model
The present paper is devoted to the asymptotic and spectral analysis of an aircraft wing model in a subsonic air flow. The model is governed by a system of two coupled integro-differential equationsExpand
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Asymptotic behaviour of the aeroelastic modes for an aircraft wing model in a subsonic air flow
The present paper is devoted to the asymptotic and spectral analysis of a model of an aircraft wing in a subsonic air flow. This model has been developed in the Flight Systems Research Center of theExpand
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Asymptotic analysis of aircraft wing model in subsonic air flow
This paper is the first in a series of several works devoted to the asymptotic and spectral analysis of an aircraft wing in a subsonic air flow. This model has been developed in the Flight SystemsExpand
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Spectral operators generated by damped hyperbolic equations
We announce a series of results on the spectral analysis for a class of nonselfadjoint opeators, which are the dynamics generators for the systems governed by hyperbolic equations containingExpand
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Flutter Phenomenon in Aeroelasticity and Its Mathematical Analysis
The present paper is the last part of a three-part survey paper, in which I give a review of several research directions in the area of mathematical analysis of flutter phenomenon. Flutter is knownExpand
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High‐energy asymptotics of resonances for three‐dimensional Schrödinger operator with screened Coulomb potential
Resonances for one‐particle three‐dimensional Schrodinger operators with Coulomb potential perturbed by a spherically symmetric compactly supported function q(r) are studied. The mth derivative ofExpand
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The Riesz basis property of the system of root vectors for the equation of a nonhomogeneous damped string: Transformation operators method
We prove the spectral decomposition theorem for a class of nonselfadjoint operators in a Hilbert space. These operators are the dynamics generators for the systems governed by 1-dimensionalExpand
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Exact boundary and distributed controllability of radial damped wave equation
Abstract We study the zero, closed loop and periodic controllability problems for the distributed parameter systems governed by the radial wave equations containing damping terms both in the equationExpand
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