首页|The Necessary and Sufficient Conditions of Exponential Stability for Heat and Wave Equations with Memory
The Necessary and Sufficient Conditions of Exponential Stability for Heat and Wave Equations with Memory
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This paper is addressed to a study of the stability of heat and wave equations with memory.The necessary and sufficient conditions of the exponential stability are investigated by the theory of Laplace transform.The results show that the stability depends on the decay rate and the coefficient of the kernel functions of the memory.Besides,the feedback stabilization of the heat equation is ob-tained by constructing finite dimensional controller according to unstable eigenvalues.This stabilizing procedure is easy to operate and can be applicable for other parabolic equations with memory.
Memorystabilitystabilization
LI Lingfei、ZHANG Xiaoyi、ZHOU Xiuxiang
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School of Science,Northeast Electric Power University,Jilin 132012,China
School of Mathematics and Statistics,Lingnan Normal University,Zhanjiang 524048,China
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