Singularly perturbed reaction diffusion equations with time delay

MO Jia-Qi;WEN Zhao-Hui

doi:10.1007/s10483-010-1311-6

Applied Mathematics and Mechanics >

2010 , Vol. 31 >Issue 6: 769 - 774

DOI: https://doi.org/10.1007/s10483-010-1311-6

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Singularly perturbed reaction diffusion equations with time delay

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1. Department of Mathematics, Anhui Normal University, Wuhu 241000, Anhui Province, P. R. China;
2. Division of Computational Science, E-Institute of Shanghai Universities at SJTU, Shanghai 200240, P. R. China;
3. Institute of Applied Mathematics, School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, Anhui Province, P. R. China

Received date: 2010-03-02

Revised date: 2010-05-08

Online published: 2010-06-01

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Abstract

A class of initial boundary value problems of differential-difference equations for reaction diffusion with a small time delay is considered. Under suitable conditions and by using the stretched variable method, a formal asymptotic solution is constructed. Then, by use of the theory of differential inequalities, the uniform validity of the solution is proved.

Key words： nonlinear; reaction diffusion; singular perturbation; time delay

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MO Jia-Qi;WEN Zhao-Hui . Singularly perturbed reaction diffusion equations with time delay[J]. Applied Mathematics and Mechanics, 2010 , 31(6) : 769 -774 . DOI: 10.1007/s10483-010-1311-6

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