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一类非线性奇摄动非局部反应扩散系统
引用本文:莫嘉琪. 一类非线性奇摄动非局部反应扩散系统[J]. 高校应用数学学报(英文版), 2003, 18(4): 403-411. DOI: 10.1007/s11766-003-0067-5
作者姓名:莫嘉琪
作者单位:Mo JiaqiHuzhou Teachers College,Huzhou 313000,China.
基金项目:Supported by Important Study Project of the National Natural Science Foundation of China( 90 2 1 1 0 0 4 ) and by the“Hundred Talents Project” of Chinese Academy of Sciences
摘    要:Recently the nonlinear singularly perturbed problem has been investigated in theinternational academic circles[1 ,2 ] .Approximation methods have been developed andrefined,including the method of averaging,boundary layer method,matched asymptoticexpanision method and multiple scales method.Many scholars such as O' Malley,Jr.[3] ,Butuzov,Nefedov and Schneider[4] ,Kelley[5] ,Mizoguchi,Yanagida and Life[6] have done agreat deal of work.Using the method of differential inequality and other met…

收稿时间:2003-02-15

A class of nonlinear singularly perturbed nonlocal reaction diffusion system
Mo Jiaqi. A class of nonlinear singularly perturbed nonlocal reaction diffusion system[J]. Applied Mathematics A Journal of Chinese Universities, 2003, 18(4): 403-411. DOI: 10.1007/s11766-003-0067-5
Authors:Mo Jiaqi
Affiliation:Huzhou Teachers College,Huzhou 313000,China
Abstract:In this paper the singularly perturbed initial boundary value problems for the nonlocal reaction diffusion system are considered.Using the iteration method and the comparison theorem, the existence and its asymptotic behavior of solution for the problem are studied.
Keywords:reaction diffusion system   singular perturbation  initial boundary value problem
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