A CLASS OF SINGULARLY PERTURBED ROBIN BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION

A CLASS OF SINGULARLY PERTURBED ROBIN BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION

下载PDF

导出

摘要 The singularly perturbed Robin boundary value problems for the semilinear elliptic equation are considered.Under suitable conditions and by using the fixed point theorem the existence,uniqueness and asymptotic behavior of solution for the boundary value problems are studied. The singularly perturbed Robin boundary value problems for the semilinear elliptic equation are considered.Under suitable conditions and by using the fixed point theorem the existence,uniqueness and asymptotic behavior of solution for the boundary value problems are studied.

作者 Mo JiaqiDept.of Math.,Huzhou Teachers College,Huzhou 313000.

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2001年第4期364-368,共5页 高校应用数学学报（英文版）（B辑）

基金 Supported by the National Natural Science Foundation of China (1 0 0 71 0 4 8)

关键词 Elliptic equation singular perturbation fixed point theorem. Elliptic equation,singular perturbation,fixed point theorem.

分类号 O175.8 [理学—基础数学]

引文网络
相关文献

参考文献4

1莫嘉琪.SINGULAR PERTURBATION FOR A CLASS OF NONLINEAR REACTION DIFFUSION SYSTEMS[J].Science China Mathematics,1989,32(11):1306-1315. 被引量：213
2莫嘉琪.A CLASS OF SINGULARLY PERTURBED REACTION DIFFUSION SYSTEMS[J].Applied Mathematics and Mechanics(English Edition),1997,18(3):273-277. 被引量：6
3MO Jiaqi (Department of Mathematics, Anhui Normal University, Wuhu 241000, China).A CLASS OF SINGULARLY PERTURBEDBOUNDARY VALUE PROBLEMS FOR NONLINEARDIFFERENTIAL SYSTEMS[J].Systems Science and Mathematical Sciences,1999,12(1):55-58. 被引量：51
4莫嘉琪.A CLASS OF SINGULARLY PERTURBED REACTION DIFFUSION INTEGRAL DIFFERENTIAL SYSTEM[J].Acta Mathematicae Applicatae Sinica,1999,15(1):18-23. 被引量：31

共引文献236

1欧阳成,莫嘉琪.一个非线性方程转向点问题[J].应用数学,2001,14(2):6-7. 被引量：8
2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
3Yao 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
4冯茂春.一类微分方程激波解的多层现象[J].杭州师范学院学报（自然科学版）,2003,2(1):12-15.
5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
6MO Jiaqi and WANG Hui(1. Anhui Normal University, Wuhu 241000, China,2. National Natural Science Foundation of China, Beijing 100085, China).Shock solution for quasilinear singularly perturbed Robin problem[J].Progress in Natural Science:Materials International,2002,12(12):945-947. 被引量：70
7LIU,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
8Liu 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
9Mo 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
10Jingsun 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.

1赵玉鹏,邓飞其.常系数线性中立型微分方程周期解存在唯一的充要条件[J].佳木斯工学院学报,1994,12(2):114-118.
2Mo Jiaqi,Yao Jingsun.THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION[J].Analysis in Theory and Applications,2001,17(4):11-16. 被引量：5
3GU Yonggeng (Department of Mathematics, Hunan Normal University, Changsha 410081,Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China) LIU Tong (Institute of Systems Science, Academy.A PRIOR ESTIMATE AND EXISTENCE OF POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATION WITH THE THIRD BOUNDARY VALUE PROBLEM[J].Journal of Systems Science & Complexity,2001,14(4):388-398. 被引量：5
4Chen Songlin,Mo Jiaqi.THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION OF HIGHER ORDER[J].Analysis in Theory and Applications,2000,16(3):100-105. 被引量：1
5方亚平,黄南京.SYSTEM OF GENERALIZED VECTOR VARIATIONAL INEQUALITIES[J].Acta Mathematica Scientia,2005,25(4):587-593. 被引量：2
6丁毅.NON-RADIAL SOLUTIONS OF A SEMILINEAR ELLIPTIC EQUATION[J].Acta Mathematica Scientia,1990,10(2):229-239.
7端木连喜.一类离散方程存在多个非负解的约束条件[J].商丘师范学院学报,2004,20(5):55-57.
8杨芬.SINGULAR POSITIVE RADIAL SOLUTIONS FOR A GENERAL SEMILINEAR ELLIPTIC EQUATION[J].Acta Mathematica Scientia,2012,32(6):2377-2387. 被引量：2
9周哲彦.SINGULARLY PERTURBED SEMILINEAR ELLIPTIC EQUATION WITH BOUNDARY-INTERIOR LAYER INTERACTION[J].Applied Mathematics and Mechanics(English Edition),1992,13(1):77-90.
10Ou Qianzhong.UNIFORM ESTIMATES AND MULTISOLVABILITY OF A SEMILINEAR ELLIPTIC EQUATION[J].Journal of Partial Differential Equations,2007,20(3):265-272.

Applied Mathematics(A Journal of Chinese Universities)

2001年第4期

浏览历史

内容加载中请稍等...

A CLASS OF SINGULARLY PERTURBED ROBIN BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION

参考文献4

共引文献236

相关作者

相关机构

相关主题

浏览历史