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November/December 2009 General decay of solutions of a nonlinear Timoshenko system with a boundary control of memory type
M. Afilal, T. Aouam, A. Soufyane
Differential Integral Equations 22(11/12): 1125-1139 (November/December 2009).

Abstract

In this paper, we consider a nonlinear Timoshenko system, in a bounded domain, where the memory-type damping is acting on a part of the boundary. We establish a general decay result, from which the usual exponential and polynomial decay rates are only special cases. Our work allows certain relaxation functions which are not necessarily of exponential or polynomial decay and, therefore, generalizes and improves earlier results in the literature.

Citation

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M. Afilal. T. Aouam. A. Soufyane. "General decay of solutions of a nonlinear Timoshenko system with a boundary control of memory type." Differential Integral Equations 22 (11/12) 1125 - 1139, November/December 2009.

Information

Published: November/December 2009
First available in Project Euclid: 20 December 2012

zbMATH: 1240.35338
MathSciNet: MR2555640

Subjects:
Primary: 74H40
Secondary: 35B40, 35Q74, 74K10, 93C20, 93D20

Rights: Copyright © 2009 Khayyam Publishing, Inc.

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Vol.22 • No. 11/12 • November/December 2009
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