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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