A CLASS OF SINGULARLY PERTURBED NONLINEAR BOUNDARY VALUE PROBLEM 被引量：3

A CLASS OF SINGULARLY PERTURBED NONLINEAR BOUNDARY VALUE PROBLEM

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摘要 The singularly perturbed boundary value problem for the nonlinear boundary conditions is considered.Under suitable conditions,the asymptotic behavior of solution for the original problems is studied by using theory of differential inequalities. The singularly perturbed boundary value problem for the nonlinear boundary conditions is considered.Under suitable conditions,the asymptotic behavior of solution for the original problems is studied by using theory of differential inequalities.

作者 MoJiaqi LinWantao

机构地区 HuzhouTeachersCollege LASG

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2005年第2期159-164,共6页 高校应用数学学报（英文版）（B辑）

基金 theNationalNaturalScienceFoundationofChina(90111011and10471039)andtheNaturalScienceFoundationofZhejiangProvince(102009)

关键词 NONLINEAR singular perturbation boundary value problem. nonlinear, singular perturbation, boundary value problem.

分类号 O175.8 [理学—基础数学]

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参考文献9

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二级参考文献32

1MO 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
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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
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共引文献318

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
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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.

同被引文献17

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
2莫嘉琪,林万涛,王辉.A CLASS OF HOMOTOPIC SOLVING METHOD FOR ENSO MODEL[J].Acta Mathematica Scientia,2009,29(1):101-110. 被引量：6
3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
4MO Jiaqi,WANG Hui,LIN Wantao,LIN Yihua.Variational iteration solving method for El Nio phenomenon atmospheric physics of nonlinear model[J].Acta Oceanologica Sinica,2005,24(5):35-38. 被引量：14
5莫嘉琪.HIV传播的人群生态动力学模型[J].生态学报,2006,26(1):104-107. 被引量：15
6莫嘉祺,王辉,林万涛,林一骅.Variational iteration method for solving the mechanism of the Equatorial Eastern Pacific El Nino-Southern Oscillation[J].Chinese Physics B,2006,15(4):671-675. 被引量：35
7莫嘉琪,林万涛,朱江.厄尔尼诺／拉尼娜-南方海涛模型的变分迭代解法(英文)[J].数学进展,2006,35(2):232-236. 被引量：7
8莫嘉琪,王辉,林万涛.厄尔尼诺-南方涛动时滞海-气振子耦合模型[J].物理学报,2006,55(7):3229-3232. 被引量：14
9莫嘉琪,林万涛.一类奇摄动非线性方程的激波解[J].系统科学与数学,2006,26(6):737-743. 被引量：11
10陈丽华,莫嘉琪.Singularly perturbed solution for weakly nonlinear equations with two parameters[J].Applied Mathematics and Mechanics(English Edition),2007,28(10):1343-1348. 被引量：3

引证文献3

1Na Wang.APPROXIMATE ANALYTIC SOLUTION TO A CLASS OF NONLINEAR DISTURBED DELAYED SYSTEM[J].Annals of Differential Equations,2013,29(3):338-345.
2MO Jia-qi.Singular perturbation for the weakly nonlinear reaction diffusion equation with boundary perturbation[J].Applied Mathematics and Mechanics(English Edition),2008,29(8):1105-1110. 被引量：6
3莫嘉琪,朱江.THE NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS[J].Applied Mathematics and Mechanics(English Edition),2003,24(5):527-531. 被引量：8

二级引证文献14

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
2莫嘉琪,林万涛,王辉.A CLASS OF HOMOTOPIC SOLVING METHOD FOR ENSO MODEL[J].Acta Mathematica Scientia,2009,29(1):101-110. 被引量：6
3MOJiaqi,LINWantao,ZHUJiang.A variational iteration method for studying the ENSO mechanism[J].Progress in Natural Science:Materials International,2004,14(12):1126-1128. 被引量：36
4MOJiaqi,LINWantao,WANGHui.A PERTURBED SOLUTION OF SEA-AIR OSCILLATOR FOR THE ENSO MECHANISM[J].Journal of Systems Science & Complexity,2005,18(2):219-223.
5莫嘉琪,林万涛,朱江.厄尔尼诺／拉尼娜-南方海涛模型的变分迭代解法(英文)[J].数学进展,2006,35(2):232-236. 被引量：7
6莫嘉琪,林万涛.一类奇摄动非线性方程的激波解[J].系统科学与数学,2006,26(6):737-743. 被引量：11
7陈丽华,莫嘉琪.Singularly perturbed solution for weakly nonlinear equations with two parameters[J].Applied Mathematics and Mechanics(English Edition),2007,28(10):1343-1348. 被引量：3
8朱婧,郑连存,张志刚.Effects of slip condition on MHD stagnation-point flow over a power-law stretching sheet[J].Applied Mathematics and Mechanics(English Edition),2010,31(4):439-448. 被引量：1
9石启宏,王术.混合摄动非线性系统解的渐近性态[J].信阳师范学院学报（自然科学版）,2010,23(2):174-177.
10石启宏,黎勇,王长有.一类奇摄动椭圆方程在摄动区域上的渐近解[J].高校应用数学学报（A辑）,2011,26(2):137-142.

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