Singularly Perturbed Differential-Difference Reaction Diffusion Equations with Time Delay  被引量:13

Singularly Perturbed Differential-Difference Reaction Diffusion Equations with Time Delay

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作  者:莫嘉琪 

机构地区:[1]Anhui Normal University [2]Division of Computational Science,E-Institutes of Shanghai Universities,Shanghai Jaotong University

出  处:《Journal of Shanghai Jiaotong university(Science)》2009年第5期629-631,共3页上海交通大学学报(英文版)

基  金:the National Natural Science Foundation of China (Nos.40676016 and 40876010);the National Basic Research Program (973) of China (Nos.2003CB415101-03 and 2004CB418304);the Knowledge Innovation Project of Chinese Academy of Sciences (No.KZCX2-YW-Q03-08);LASG State Key Laboratory Special Fund;E-Institutes of Shanghai Municipal Education Commission (No.E03004)

摘  要:A class of differential-difference reaction diffusion equations with a small time delay is considered.Under suitable conditions and by using the 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.A class of differential-difference reaction diffusion equations with a small time delay is considered. Under suitable conditions and by using the 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:O175.7[理学—数学] TP183[理学—基础数学]

 

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