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