SINGULAR PERTURBATION OF INITIAL BOUNDARY VALUE FROBLEMS OF REACTION DIFFUSlON EQUATION WITH DELAY

In this paper we consider the initial-boundary value problems for a class ofapplications, such as biomathematics and biochemistry.Applying the method ofcomposile expansion we construct the formally asymptotic solution of the problemdescribed. With the help of theory of upper and lower solutions we prove the uniformlyvalidity of the formal solution and the existence of solution of the original problem.

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。