一类非线性积分微分反应扩散方程的渐近解(英文)

Asymptotic Solution for a Class of Nonlinear Integro-differential Reaction Diffusion Equations

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摘要研究了一类非线性积分———微分反应扩散方程.在适当的条件下,利用微分不等式理论,讨论了退化解具有两个交叉解的初值问题解的渐近性态. A class of nonlinear for integro-differential reaction diffusion equations are considered. Under suitable conditions, using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems are studied, which reduced problems possess two intersecting solutions.

作者莫嘉琪

机构地区安徽师范大学

出处《应用数学》 CSCD 北大核心 2006年第4期665-672,共8页 Mathematica Applicata

基金 Supported by the National Natural Science Foundation of China (90111011 ,10471039) and in part by E-Institutes of shanghai Muanicipal Education Commission (N.E03004)

关键词非线性反应扩散方程渐近解 Nonlinear Reaction diffusion equation Asymptotic solution

分类号 O174.2 [理学—基础数学]

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二级参考文献3

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共引文献217

1林万涛,莫嘉琪.简单ENSO海-气耦合模式摄动解的渐近性态[J].科学通报,2003,48(z1):78-81. 被引量：1
2Yao Jingsun, Mo Jiaqi (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui,Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).SINGULARLY PERTURBED SOLUTION TO SEMILINEAR HIGHER ORDER REACTION DIFFUSION EQUATIONS WITH TWO PARAMETERS[J].Annals of Differential Equations,2009,25(1):91-96. 被引量：1
3莫嘉琪.具有奇性方程的非线性奇摄动问题的正解(英文)[J].应用数学,2010(1):13-17. 被引量：1
4LIU,Qi-lin(刘其林),MO,Jia-qi(莫嘉琪).THE ASYMPTOTIC BEHAVIOR OF SOLUTION FOR THE SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEMS OF THE REACTION DIFFUSION EQUATIONS IN A PART OF DOMAIN[J].Applied Mathematics and Mechanics(English Edition),2001,22(10):1192-1197. 被引量：1
5Liu Shude~1 Chen Lihua~2 Mo Jiaqi~(1,3) (1.Dept.of Math.,Anhui Normal University,Wuhu 241000,Anhui,2.Dept.of Math.,Fuqing Branch of Fujian Normal University,Fuqing 350300,Fujian,3.Division of Computational Science,E-Institutes of Shanghai Universities,at SJTU,Shanghai 200240).THE INITIAL-BOUNDARY VALUE PROBLEMS OF NONLINEAR AND NONLOCAL SINGULARLY PERTURBED REACTION DIFFUSION SYSTEM[J].Annals of Differential Equations,2008,24(1):20-28. 被引量：5
6Mo Jiaqi1,2,Yao Jingsun1(1. Dept. of Math.,Anhui Normal University,Wuhu 241000,Anhui,2. Division of Computational Science,E-Institutes of Shanghai Universities at SJTU,Shanghai 200240).THE GENERALIZED FUNCTIONAL-VARIATION SOLVING METHODS FOR NONLINEAR REACTION DIFFUSION IN BIONOMICS OF SPECIES GROUPS[J].Annals of Differential Equations,2008,24(2):193-196. 被引量：1
7Jingsun Yao, Jiaqi Mo (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui,Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO NONLINEAR REACTION DIFFUSION EQUATION WITH TWO SMALL PARAMETERS[J].Annals of Differential Equations,2010,26(1):100-104.
8Jiaqi Mo (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui,Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO NONLINEAR ECOLOGICAL REACTION DIFFUSION SYSTEM[J].Annals of Differential Equations,2010,26(3):292-296.
9Jiaqi Mo 1,2 , Jingsun Yao 1 (1. Dept. of Math., Anhui Normal University, Wuhu 241003, Anhui,2. Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO MODEL FOR A CLASS OF VIRUS TRANSMISSION[J].Annals of Differential Equations,2010,26(4):436-441. 被引量：1
10Lihua Chen Dept.of Math.and Computer Science,Fuqing Branch of Fujian Normal University,Fuqing 350300,Fujian Jiaqi Mo Dept.of Math.,Anhui Normal University,Wuhu 241003,Anhui,Faculty of Science,Huzhou Teacher College,Huzhou 313000,Zhejiang,.THE INTERIOR LAYER SOLUTION TO NONLOCAL REACTION DIFFUSION EQUATIONS[J].Annals of Differential Equations,2011,27(4):434-439.

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一类非线性积分微分反应扩散方程的渐近解(英文)

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