The Nonlinear Singularly Perturbed Problems for Elliptic Equations with Boundary Perturbation

The Nonlinear Singularly Perturbed Problems for Elliptic Equations with Boundary Perturbation

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摘要 The nonlinear singularly perturbed problems for elliptic equations with boundary perturbation are considered. Under suitable conditions, by using the theory of differential inequalities the asymptotic behavior of solutions for the boundary value problems is studied. The nonlinear singularly perturbed problems for elliptic equations with boundary perturbation are considered. Under suitable conditions, by using the theory of differential inequalities the asymptotic behavior of solutions for the boundary value problems is studied.

作者莫嘉琪张伟江陈贤峰

机构地区 Department of Mathematics Division of Computational Science Department of Mathematics

出处《Northeastern Mathematical Journal》 CSCD 2007年第4期293-297,共5页 东北数学（英文版）

基金 The NNSF(40676016 10471039)of China the National Key Project for Basics Research (2003CB415101-03 and 2004CB418304) the Key Project of the Chinese Academy of Sciences(KZCX3-SW-221) in part by E-Insitutes of Shanghai Municipal Education Commission(N.E03004)

关键词 NONLINEAR elliptic equation singular perturbation boundary perturbation nonlinear, elliptic equation, singular perturbation, boundary perturbation

分类号 O175.25 [理学—基础数学]

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参考文献7

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共引文献315

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
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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.

1莫嘉琪,姚静荪.The Nonlinear Nonlocal Singularly Perturbed Problems for Elliptic Equations with Boundary Perturbation[J].Journal of Shanghai Jiaotong university(Science),2006,11(1):104-106. 被引量：3
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3CHE Guo-feng,CHEN Hai-bo.Nonlinear Singularly Perturbed Problems for Reaction Diffusion Equations with Two Parameters and Boundary Perturbation[J].Journal of Donghua University(English Edition),2016,33(6):888-893.
4Mo Jiaqi,Chen Xianfeng,Xie Feng.THE SOLVABILITY FOR HEAT CONDUCTIVE PROBLEM WITH BOUNDARY PERTURBATION[J].Annals of Differential Equations,2007,23(1):45-49. 被引量：1
5林苏榕,莫嘉琪.Nonlinear singularly perturbed problems of ultra parabolic equations[J].Applied Mathematics and Mechanics(English Edition),2008,29(10):1377-1381.
6OuyangCheng MoJiaqi.THE NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH BOUNDARY PERTURBATION[J].Annals of Differential Equations,2005,21(2):177-182. 被引量：10
7Jia-qiMo,Wan-taoLin.A Nonlinear Singularly Perturbed Problem for Reaction Diffusion Equations with Boundary Perturbation[J].Acta Mathematicae Applicatae Sinica,2005,21(1):101-104. 被引量：50
8李路谣.解决内燃机振动问题之路[J].中国科技博览,2011(8X):58-59.
9莫嘉琪.Quasilinear singularly perturbed problem with boundary perturbation[J].Journal of Zhejiang University Science,2004,5(9):1144-1147. 被引量：2
10莫嘉琪,冯茂春.THE NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH TIME DELAY[J].Acta Mathematica Scientia,2001,21(2):254-258. 被引量：31

Northeastern Mathematical Journal

2007年第4期

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The Nonlinear Singularly Perturbed Problems for Elliptic Equations with Boundary Perturbation

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