Singularly Perturbed Solution for Nonlinear Equations of Fourth Order with Two Parameters 被引量：1

Singularly Perturbed Solution for Nonlinear Equations of Fourth Order with Two Parameters

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摘要 A class of singularly perturbed boundary value problem for nonlinear equation of fourth order with two parameters is considered. Under suitable conditions, the existence and asymptotic behavior of solution for boundary value problem are studied using theory of differential inequalities. A class of singularly perturbed boundary value problem for nonlinear equation of fourth order with two parameters is considered. Under suitable conditions, the existence and asymptotic behavior of solution for boundary value problem are studied using theory of differential inequalities.

作者陈丽华莫嘉琪刘树德

机构地区 Department of Mathematics and Computer Science Department of Mathematics

出处《Journal of Shanghai Jiaotong university(Science)》 EI 2008年第4期495-498,共4页 上海交通大学学报（英文版）

基金 the National Natural Science Foundation of China (No. 40676016) the National Basic Research Program (973) of China (No. 2003CB415101-03 and 2004CB418304) the Key Project of the Chinese Academy of Sciences (No. KZCX3-SW-221) in part by E-Insitutes of Shanghai Municipal Education Commission (No. N.E03004) the Science and Technology Foundation of the Education Department of Fujian(No. JB07189)

关键词 NONLINEAR two parameters singular perturbation 非线性常数微方程式数学数字模拟

分类号 O175.14 [理学—基础数学]

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参考文献12

1莫嘉琪,王辉,林万涛,林一骅.赤道东太平洋SST的海-气振子模型[J].物理学报,2006,55(1):6-9. 被引量：19
2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
3Alvarez O,,Barch M,Marchi C.Multiscale problems and homogenization for second-order Hacobi equationsm[].J Di- Eqns.2007
4Nakashima K,Wakasa T.Generation of interfaces for Lotka-Volterra competition-di-usion system with large interaction rates[].J Di- Eqns.2007
5Miyamoto Y.Upper semicontinuity of the global attractor for the Gierer-Meinhardt model[].J Di- Eqns.2006
6Mo Jiaqi.A singularly perturbed nonlinear boundary value problem[].Journal of Mathematical Analysis and Applications.1993
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
8Mo Jiaqi,Shao S.The singularly perturbed boundary value problems for higherorder semilinear elliptic equations[].Advances in Mathematics.2001
9MOJiaqi,ZHUJiang,WANGHui.Asymptotic behavior of the shock solution for a class of nonlinear equations[J].Progress in Natural Science:Materials International,2003,13(10):768-770. 被引量：141
10Mo Jiaqi,Han Xianglin.Asymptotic shock solution for a nonlinear equation[].Acta Mathematica Scientia.2004

二级参考文献24

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
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,林万涛,朱江.海-气振子ENSO模型的同伦解法[J].物理学报,2004,53(10):3245-3247. 被引量：32
4韩祥临.一个燃烧模型的近似解[J].物理学报,2004,53(12):4061-4064. 被引量：10
5潘留仙,左伟明,颜家壬.Landau-Ginzburg-Higgs方程的微扰理论[J].物理学报,2005,54(1):1-5. 被引量：36
6莫嘉琪,林万涛.厄尔尼诺大气物理机理的变分迭代解法[J].物理学报,2005,54(3):1081-1083. 被引量：21
7黄磊,包光伟,刘延柱.弹性细杆弯曲的Kirchhoff方程的违约校正求解[J].物理学报,2005,54(6):2457-2462. 被引量：7
8莫嘉琪,林万涛,王辉.一类厄尔尼诺海-气振子机理的摄动解[J].物理学报,2005,54(9):3967-3970. 被引量：4
9莫嘉琪,林一骅,林万涛.热带海-气耦合振子的摄动解[J].物理学报,2005,54(9):3971-3974. 被引量：13
10范恩贵,张鸿庆.非线性波动方程的孤波解[J].物理学报,1997,46(7):1254-1258. 被引量：86

共引文献287

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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1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
2MO JiaQi1,2 1 Anhui Normal University, Wuhu 241000, China,2 Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China.Homotopic mapping solving method for gain fluency of a laser pulse amplifier[J].Science China(Physics,Mechanics & Astronomy),2009,52(7):1007-1010. 被引量：124
3MO Jiaqi,LIN Wantao,WANG Hui.Variational iteration solving method of a sea-air oscillator model for the ENSO[J].Progress in Natural Science:Materials International,2007,17(2):230-232. 被引量：60
4莫嘉琪,王辉.广义Lotke-Volterra生态模型的非线性奇摄动近似解(英文)[J].生态学报,2007,27(10):4366-4370. 被引量：27
5Jiaqi MO,Wantao LIN.ASYMPTOTIC SOLUTION OF ACTIVATOR INHIBITOR SYSTEMS FOR NONLINEAR REACTION DIFFUSION EQUATIONS[J].Journal of Systems Science & Complexity,2008,21(1):119-128. 被引量：96
6莫嘉琪.Approximate Solution of Homotopic Mapping to Solitary Wave for Generalized Nonlinear KdV System[J].Chinese Physics Letters,2009,26(1):13-16. 被引量：66
7莫嘉琪.一类奇摄动微分—差分反应扩散方程(英文)[J].数学进展,2009,38(2):227-232. 被引量：17
8莫嘉琪.A Variational Iteration Solving Method for a Class of Generalized Boussinesq Equations[J].Chinese Physics Letters,2009,26(6):7-9. 被引量：56

引证文献1

1莫嘉琪.A class of singular perturbation solutions to semilinear equations of fourth order[J].Applied Mathematics and Mechanics(English Edition),2009,30(11):1455-1460.

1吴微.行波的稳定性[J].Journal of Mathematical Research and Exposition,1994,14(3):319-326.
2王国灿.ASYMPTOTIC ESTIMatION OF ROBIN BOUNDARY VALUE PROBLEM FOR THIRD NONLINEAR EQUATION[J].Annals of Differential Equations,1997,13(1):23-30. 被引量：1
3H.G.Abdelwahed,E.K.ElShewy,A.A.Mahmoud.On Time-Fractional Cylindrical Nonlinear Equation[J].Chinese Physics Letters,2016,33(11):62-66.
4金海,李正元,叶其孝.POSITIVENESS THEOREMS OF SOLUTIONS FOR SEVERAL DIFFERENTIAL INEQUALITIES AND THEIR APPLICATIONS[J].Acta Mathematica Scientia,2002,22(2):227-240.
5MoJiaqi,LinWantao.A CLASS OF SINGULARLY PERTURBED NONLINEAR BOUNDARY VALUE PROBLEM[J].Applied Mathematics(A Journal of Chinese Universities),2005,20(2):159-164. 被引量：3
6ZHANG Han-lin.A Class of Singularly Perturbed Problems for Nonlinear Elliptic Equations[J].Chinese Quarterly Journal of Mathematics,2005,20(4):385-389.
7MoJiaqi TangRongrong.NONLINEAR SINGULARLY PERTURBED PREDATOR-PREY REACTION DIFFUSION SYSTEMS[J].Applied Mathematics(A Journal of Chinese Universities),2004,19(1):57-66. 被引量：5
8莫嘉琪.The Nonlinear Predator-Prey Singularly Perturbed Robin Initial Boundary Value Problems for Reaction Diffusion System[J].Journal of Shanghai Jiaotong university(Science),2003,8(2):179-182.
9YANGXiao－Xue,WUYing.A Simple Method to Obtain Exact Soliton Solutions for a Nonlinear Equation in a Loss Fibre System[J].Communications in Theoretical Physics,2002,37(5):615-616.
10YANG Xiao-Xue WU Ying.A Simple Method to Obtain Exact Soliton Solutions for a Nonlinear Equation in a Loss Fibre System[J].Communications in Theoretical Physics,2002(11):615-616.

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2008年第4期

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