非线性椭圆型方程奇摄动问题(英文) 被引量：1

The Nonlinear Singularly Perturbed Problems for Elliptic Equations

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摘要　作者研究了具有非线性椭圆型方程奇摄动问题。在适当的条件下,利用微分不等式理论,讨论了当退化问题具有两个相交解时,原边值问题解的渐近性态。 The nonlinear singularly perturbed problems for the elliptic equations are considered. Under suitable conditions, using the theory of differential inequalities the asymptotic behavior of solution for the boundary value problems are studied, which reduced equations possess two intersecting solutions.

作者王辉莫嘉琪

机构地区国家自然科学基金委员会湖州师范学院数学系

出处《华东师范大学学报（自然科学版）》 CAS CSCD 北大核心 2003年第3期9-12,共4页 Journal of East China Normal University(Natural Science)

基金国家自然科学重大项目基金(90211004)

关键词非线性椭圆型方程奇摄动 nonlinear elliptic equation singular perturbation

分类号 O175.29 [理学—基础数学]

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参考文献2

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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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引证文献1

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1莫嘉琪.非线性奇摄动椭圆型方程问题(英文)[J].湖州师范学院学报,2003,25(6):1-5. 被引量：1
2孙亦君,张炳根.差分方程的振动性(英文)[J].青岛海洋大学学报（自然科学版）,2001,31(2):287-292.
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