Robustness of Exponential Dissipation with respect to Small Time Delay

Xunwu Yin

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We investigate robustness of exponential dissipation for the following general nonlinear evolutionary equation with small time delay: ∂tu + Au = f(u(t), u(t − τ)). We firstly obtain a converse Lyapunov theorem. With the help of it, we establish an important result on robustness of exponential dissipation to small time delay assuming that the nonlinearity is globally Lipschitz.

Date: 2013
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https://doi.org/10.1155/2013/361970

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:361970

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