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Singularly perturbed differential-difference reaction diffusion equations with time delay
Authors:Jia-qi Mo
Institution:1. Anhui Normal University, Wuhu, 241000, Anhui, China
2. Division of Computational Science, E-Institutes of Shanghai Universities, Shanghai Jaotong University, Shanghai, 200240, China
Abstract:A class of differential-difference reaction diffusion equations with a small time delay is considered. Under suitable conditions and by using the method of the stretched variable, the formal asymptotic solution is constructed. And then, by using the theory of differential inequalities the uniformly validity of solution is proved.
Keywords:nonlinear  reaction diffusion  singular perturbation  time delay
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