Stabilization of the Wave Equation with Boundary Time‐Varying Delay

Hao Li, Changsong Lin, Shupeng Wang and Yanmei Zhang

Advances in Mathematical Physics, 2014, vol. 2014, issue 1

Abstract: We study the stabilization of the wave equation with variable coefficients in a bounded domain and a time‐varying delay term in the time‐varying, weakly nonlinear boundary feedbacks. By the Riemannian geometry methods and a suitable assumption of nonlinearity, we obtain the uniform decay of the energy of the closed loop system.

Date: 2014
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https://doi.org/10.1155/2014/735341

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:735341

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