摘要
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。
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.
出处
《应用数学和力学》
CSCD
北大核心
1994年第3期253-258,共6页
Applied Mathematics and Mechanics
基金
校青年科学基金
关键词
奇摄动
初边值问题
扩散反应方程
singular perturbation,diffusion equation,delay,upper and lower solutions, uniformly validity
