Nonlinear boundary stabilization of the wave equations with variable coefficients and time dependent delay

Zhen-Hu Ning, Chang-Xiang Shen, Xiaopeng Zhao, Hao Li, Changsong Lin and Yanmei Zhang

Applied Mathematics and Computation, 2014, vol. 232, issue C, 511-520

Abstract: We study the stabilization the wave equations with variable coefficients in a bounded domain and nonlinear boundary feedback with time dependent delay. By the Riemannian geometry methods and a suitable assumption of delay, we obtain the exponential decay when the nonlinear terms are linearly bounded and a general decay when the nonlinear terms have no upper growth bound.

Keywords: Wave equations; Time dependent delay; Nonlinear boundary feedback; Riemannian geometry methods (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:511-520

DOI: 10.1016/j.amc.2014.01.141

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