| The Nonlinear Singularly Perturbed Initial Boundary Value Problems of Nonlocal Reaction Diffusion Systems |
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| 作者姓名： | Jia-qi Mo Wan-tao Lin |
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| 作者单位： | [1]Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China [2]Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China [3]LASC, Institute of Atmosheric Physics, Chinese Academy of Sciences, Beijing 100029, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （No.90111011, No.10471039） the National Key Project for Basics Research （2003CB415101-03 and 2004CB418304）, the Key Project of the Chinese Academy of Sciences （KZCX3-SW-221） and in part by E-Insitutes of Shanghai Municipal Education Commission （N.E03004）. |
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| 摘 要： | In this paper the singularly perturbed initial boundary value problems for the nonlocal reactiondiffusion system are considered.Using the iteration method and the comparison theorem,the existence and itsasymptotic behavior of the solution for the problem are studied.
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| 关 键 词： | 反作用扩散系统 单一扰动 初始边界值问题 迭代法 |
| 收稿时间： | 2003-05 |
| 修稿时间： | 2003-05 |
The Nonlinear Singularly Perturbed Initial Boundary Value Problems of Nonlocal Reaction Diffusion Systems |
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| Jia-qi Mo Wan-tao Lin.The Nonlinear Singularly Perturbed Initial Boundary Value Problems of Nonlocal Reaction Diffusion Systems[J].Acta Mathematicae Applicatae Sinica,2006,22(2):277-286. |
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| Authors: | Jia-qi Mo Wan-tao Lin |
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| Institution: | (1) Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China;(2) Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China;(3) LASC, Institute of Atmosheric Physics, Chinese Academy of Sciences, Beijing 100029, China |
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| 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 the solution for the problem are studied. |
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| Keywords: | Reaction diffusion system singular perturbation initial boundary value problem |
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