Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14365/3188
Title: Decay of Solutions of Damped Kirchhoff and Beam Equations
Authors: Kalantarova, J. V.
Aliyeva, G. N.
Keywords: Kirchhoff equation
damped beam equation
structural stability
uniform estimates
exponential decay of solutions
Stability
Publisher: Inst Applied Mathematics
Abstract: We obtain uniform estimates for solutions of second-order nonlinear nonautonomous differential-operator equation in a Hilbert space with structural damping. It is shown that when the given source term in the equation tends to zero as t -> infinity, the corresponding solution of the Cauchy problem for this equation also tends to zero as t -> infinity. Exponential decay of solutions for the corresponding autonomous equation is also obtained. Applications to the initial boundary value problems for some nonlinear Kirchhoff type and beam equations are given.
URI: https://hdl.handle.net/20.500.14365/3188
ISSN: 2076-2585
2219-1259
Appears in Collections:WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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