On Asymptotic Behavior for Reaction Diffusion Equation with Small Time Delay

Xunwu Yin

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We investigate the asymptotic behavior of scalar diffusion equation with small time delay ut−Δu = f(u(t), u(t − τ)). Roughly speaking, any bounded solution will enter and stay in the neighborhood of one equilibrium when the equilibria are discrete.

Date: 2011
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https://doi.org/10.1155/2011/142128

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:142128

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