Stability for a coupled system of wave equations of Kirchhoff type with nonlocal boundary conditions

Date

2003-08-14

Authors

Ferreira, Jorge
Pereira, Ducival C.
Santos, Mauro de Lima

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

We consider a coupled system of two nonlinear wave equations of Kirchhoff type with nonlocal boundary condition and we study the asymptotic behavior of the corresponding solutions. We prove that the energy decay at the same rate of decay of the relaxation functions, that is, the energy decays exponentially when the relaxation functions decay exponentially and polynomially when the relaxation functions decay polynomially.

Description

Keywords

Coupled system, Wave equation, Galerkin method, Asymptotic behavior, Boundary value problem

Citation

Ferreira, J., Pereira, D. C., & Santos, M. L. (2003). Stability for a coupled system of wave equations of Kirchhoff type with nonlocal boundary conditions. <i>Electronic Journal of Differential Equations, 2003</i>(85), pp. 1-17.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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