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.
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.
出处
《安徽师范大学学报（自然科学版）》
CAS
北大核心
2011年第6期511-515,521,共6页
Journal of Anhui Normal University(Natural Science)
基金
Supported by the National Natural Science Foundation of China(40906013)
the Natural Science Foundation fromthe Education Bureau of Anhui Province(KJ2010A128,KJ2010B360)
关键词
反应扩散
奇摄动
非线性系统
reaction diffusion
sinular perturbation
nonlinear system
