中文摘要：

研究了一类非线性时滞反应扩散系统奇摄动问题．在适当的条件下，首先求出了问题的外部解；其次，利用伸长变换方法，构造了问题的形式渐近解；最后利用微分不等式理论，证明了问题解的一致有效性．

英文摘要：

A class of nonlinear singularly perturbed problem for the reaction diffusion system with time delay is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained; and then, by using the stretched variable the formal asymptotic solution is constructed; finally, from the theory of differential inequalities the uniformly validity of solution for the initial boundary value problem is proved.