时滞反应扩散方程初边值问题奇摄动

本文考虑了在生物数学、生物化学等应用问题中常见的较广泛的一类奇摄动时滞反应扩散方程初边值问题。应用合成展开法构造了所述问题的形式渐近解，借助上、下解理论证明了形式解的一致有效性和原问题的解的存在性。

Singular Perturbation of lnitial-boundary Value Problems of Reaction Diffusion Equation with Delay

In this paper we consider the initial-boundary value problems of a class of general singularly perturbed delay reaction diffusion equation met often in the applied problems, such as biomathematics and biochemistry.Applying the method of composite expansion we construct the formally asymptotic solution of the prob-lem described. With the help of theory of upper and lower solutions we prove the uniformly validity of the formal solution and the existence of solution of the original problem.