On Asymptotic Behavior for Reaction Diffusion Equation with Small Time Delay

Xunwu Yin

Abstract and Applied Analysis, 2011, vol. 2011, 1-13

Abstract:

We investigate the asymptotic behavior of scalar diffusion equation with small time delay u t - Δ u = 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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:142128

DOI: 10.1155/2011/142128

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