一类高阶拟线性椭圆型方程奇摄动边值问题(英文)

A Class of Singularly Perturbed Boundary Value Problems for Quasilinear Elliptic Equation of Higher Order

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摘要本文讨论了一类拟线性椭圆型方程奇摄动Dirichlet边值问题 .在适当的条件下 ,利用不动点定理。 A class of singularly perturbed boundary value problems for the quasilinear elliptic equation of higher order 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.

作者莫嘉琪朱江

机构地区湖州师范学院中国科学院大气物理研究所

出处《应用数学》 CSCD 北大核心 2003年第3期94-98,共5页 Mathematica Applicata

基金 SupportedbytheimportantstudyprojectoftheNationalNaturalScienceFoundationofChina(GrantNo90 2110 0 4),andbythe"HundredTalentsProject"ofChineseAcademyofSciences

关键词拟线性椭圆型方程奇摄动 DIRICHLET边值问题不动点定理解存在性唯一性渐近性 Elliptic equaiton Singular perturbation Fixed point theorem

分类号 O175.25 [理学—基础数学] O175.8 [理学—基础数学]

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参考文献7

1莫嘉琪,S. Shao.高阶半线性椭圆型方程奇摄动边值问题(英文)[J].数学进展,2001,30(2):141-148. 被引量：91
2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
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.SINGULAR PERTURBATION FOR A CLASS OF NONLINEAR REACTION DIFFUSION SYSTEMS[J].Science China Mathematics,1989,32(11):1306-1315. 被引量：213
5莫嘉琪,欧阳成.A CLASS OF NONLOCAL BOUNDARY VALUE PROBLEMS OF NONLINEAR ELLIPTIC SYSTEMS IN UNBOUNDED DOMAINS[J].Acta Mathematica Scientia,2001,21(1):93-97. 被引量：64
6莫嘉琪.THE SINGULARLY PERTURBED PROBLEM FOR COMBUSTION REACTION DIFFUSION[J].Acta Mathematicae Applicatae Sinica,2001,17(2):255-259. 被引量：68
7莫嘉琪.A CLASS OF NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR NONLINEAR HYPERBOLIC DIFFERENTIAL EQUATION[J].Acta Mathematicae Applicatae Sinica,2001,17(4):469-474. 被引量：41

二级参考文献26

1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
2MO 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
3莫嘉琪.SINGULAR PERTURBATION FOR A REACTION DIFFUSION SYSTEM IN BACTERIA GROWTH[J].Acta Mathematica Scientia,1992,12(4):400-407. 被引量：2
4莫嘉琪.一类高阶椭圆型偏微分方程的奇摄动[J].应用数学学报,1993,16(1):114-120. 被引量：8
5莫嘉琪,许玉兴.一类奇摄动非线性反应扩散积分微分方程组[J].应用数学学报,1994,17(2):278-286. 被引量：14
6莫嘉琪,陈育森.一类具有非局部边界条件的反应扩散方程奇摄动问题[J].数学物理学报（A辑）,1997,17(1):25-30. 被引量：10
7Mo Jiaqi，应用数学学报，1998年，21卷，471页
8Mo Jiaqi，Acta Math Sci，1997年，17卷，44页
9Mo Jiaqi，应用数学学报，1997年，20卷，544页
10de Jager E M，Theory Singular Perturbation，1996年

共引文献265

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张祥.一类拟线性椭圆型方程Robin问题的奇摄动[J].数学物理学报（A辑）,1991,11(2):198-204. 被引量：4
2莫嘉琪.具有转向点的奇摄动边值问题(英文)[J].安徽师范大学学报（自然科学版）,2000,23(1):5-7. 被引量：1
3董玉君,邹尔新,尹成龙.非线性奇摄动边值问题的渐近展开[J].Journal of Mathematical Research and Exposition,1994,14(1):45-50.
4刘其林.一类二阶非线性奇摄动边值问题解的渐近展开[J].高校应用数学学报（A辑）,1993,8(3):231-238. 被引量：2
5李园庭.拟线性椭圆型方程Dirichlet问题非平凡解的存在性[J].华南理工大学学报（自然科学版）,1990,18(2):106-116. 被引量：1
6陈才生.平面上拟线性椭圆型方程的正解[J].河海大学学报（自然科学版）,1993,21(4):45-52.
7何传江.关于拟线性椭圆型方程在_(p_i)~1(Ω)中的非平凡解[J].重庆大学学报（自然科学版）,1992,15(3):108-113.
8莫嘉琪,叶勤.奇摄动二阶非线性微分方程边值问题[J].安徽师大学报,1992,15(4):1-6.
9莫嘉琪,S. Shao.高阶半线性椭圆型方程奇摄动边值问题(英文)[J].数学进展,2001,30(2):141-148. 被引量：91
10姚庆六.方程w″-w+f(t,w)=0的Dirichlet边值问题的正解存在性与多解性(英文)[J].应用泛函分析学报,2002,4(1):4-9. 被引量：2

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一类高阶拟线性椭圆型方程奇摄动边值问题(英文)

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