Asymptotic Solution of Nonlinear Nonlocal Singularly Perturbed Reaction Diffusion Problems with Two Parameters  

作　　者：Zai-ying ZHOU Jia-qi MO 

机构地区：[1]Department of Mathematics,Anhui Normal University,Wuhu 241000,China

出　　处：《Acta Mathematicae Applicatae Sinica》2012年第3期583-590,共8页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 40876010);the Main Direction Program of the Knowledge Innovation Project of Chinese Academy of Sciences (KZCX2-YW-Q03-08);the Natural Science Research Fund of Provincial Institutions of Higher Learning (No. KJ2011Z148)

摘　　要：A class of differential-difference reaction diffusion equations initial boundary problem with a small time delay is considered. Under suitable conditions and by using method of the stretched variable, the formal asymptotic solution is constructed. And then, by using the theory of differential inequalities the uniformly validity of solution is proved.

关 键 词：NONLINEAR reaction diffusion singular perturbation time delay 

分 类 号：O175.1[理学—数学] O175.2[理学—基础数学]