一类间断非线性微分方程的泛函边值问题(英文) 被引量：6

A Class of Functional Boundary Value Problems for the Discontinuous Nonlinear Differential Equations

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摘要研究了一类间断非线性常微分方程泛函边值问题 . A class of functional boundary value proble ms for the discontinuous nonlinear ordinary differential equations are considere d. The asymptotic solution for the problem is obtained using the theory of diffe rential inequality.

作者莫嘉琪唐荣荣

机构地区湖州师范学院

出处《应用数学》 CSCD 北大核心 2002年第1期77-81,共5页 Mathematica Applicata

基金 TheprojectissupportedbytheNationalNaturalFoundationofChina(10 0 710 4 8)

关键词非线性微分方程泛函边值问题微分不等式 Nonlinear differential equation Functional boundary valu e problem Differential inequality

分类号 O175.14 [理学—基础数学]

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参考文献4

1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
2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
3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
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

二级参考文献13

1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
2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
3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
4Mo Jiaqi,Chen Yusen.A class of singularly perturbed for reaction diffusion systems with nonlocal boundary conditions. Acta Mathematica Scientia . 1997
5Pao C V.Nonlinear elliptic systems in Unbounded domains. Nonlinear Analysis . 1994
6Mo Jiaqi.Singular perturbation for a class of Dirichlet problems of semilinear elliptic equations. Acta Mathematica Scientia . 1987
7Amman H.On the existence of positive solutions of noalinear elliptic boundary value problems. Indiana University Mathematics Journal . 1971
8Ladyzhenskaya O A,Ural’cera N N.Linear and Quasi-linear Elliptic Equations. . 1968
9Pao,C. V. Nonlinear Parabolic and Elliptic Equations . 1992
10莫嘉琪.一类具有非局部反应扩散方程的奇摄动问题(英文)[J].数学进展,1998,27(1):53-58. 被引量：7

共引文献248

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.

同被引文献27

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唐荣荣.A CLASS OF STRONGLY NONLINEAR SINGULARLY PERTURBED INTERIOR LAYER PROBLEMS[J].Annals of Differential Equations,2004,20(3):278-282. 被引量：19
3王莉婕.一类超越方程的摄动解[J].杭州师范学院学报（自然科学版）,2005,4(2):98-101. 被引量：5
4王莉婕.一类三阶非线性奇摄动问题的匹配解法[J].南昌大学学报（理科版）,2005,29(5):422-423. 被引量：6
5莫嘉琪,唐荣荣.一类非线性奇摄动捕食-被捕食反应扩散系统[J].兰州大学学报（自然科学版）,2006,42(1):98-100. 被引量：6
6Kevorkion J, Cole J D. Multiple scale and singular perturbation methods[ M ]. New York: Springer, 1996 : 1--5.
7Nayfeh A H. Introduction to perturbation techniques[ M]. New York:John Wiley & Sons,1981:52--58.
8TANIGUCHI M.Instability of Planar Traveling Waves in Bitable Reaction-diffusion Systems[J].Discrete and Continuous Dynamical Systems,2003,3B (1):21-44.
9NAYFEH A H.Introduction to Perturbation Techniques[M].New York:Wiley,1981.
10HAMOUDA M.Interior Layer for Second-order Singular Equations[J].Applicable Anal,2002,81(4):837-866.

引证文献6

1陈跃勤.一类超越方程的摄动解[J].湖州师范学院学报,2012,34(2):16-20.
2唐荣荣.一类非线性奇摄动方程的激波问题(英文)[J].数学进展,2005,34(2):233-240. 被引量：16
3唐荣荣.一类非线性奇摄动问题的激波解[J].兰州大学学报（自然科学版）,2006,42(3):115-117. 被引量：1
4曹春健,欧阳成.用摄动法求两类方程的近似解[J].鲁东大学学报（自然科学版）,2009,25(4):299-303.
5曾艳婷,欧阳成.一类非线性奇摄动问题的多层解[J].南昌大学学报（理科版）,2010,34(6):523-526. 被引量：4
6唐荣荣.具有边界摄动的非线性积分微分问题[J].吉林大学学报（理学版）,2004,42(2):164-167. 被引量：13

二级引证文献31

1Rongrong Tang (Faculty of Science,Huzhou Teachers College,Huzhou 313000,Zhenjiang).SOLUTION WITH SHOCK-BOUNDARY LAYER AND SHOCK-INTERIOR LAYER TO A CLASS OF NONLINEAR PROBLEMS[J].Annals of Differential Equations,2012,28(1):87-92. 被引量：1
2Na Wang.ASYMPTOTIC SOLUTION TO SINGULARLY PERTURBED NEUTRAL DIFFERENTIAL DIFFERENCE EQUATIONS[J].Annals of Differential Equations,2013,29(1):81-88.
3唐荣荣.一类强非线性方程奇摄动Robin问题解的渐近性态[J].吉林大学学报（理学版）,2005,43(2):149-152. 被引量：7
4唐荣荣.非线性奇摄动两点边值问题的激波性态(英文)[J].数学进展,2005,34(4):497-502. 被引量：21
5唐荣荣.两类非线性波方程的近似解法[J].南昌大学学报（理科版）,2006,30(1):7-10. 被引量：2
6盖平,张红雷.有密度制约的HollingI类捕食系统的定性分析[J].吉林大学学报（理学版）,2006,44(3):373-376. 被引量：1
7唐荣荣.一类非线性奇摄动问题的激波解[J].兰州大学学报（自然科学版）,2006,42(3):115-117. 被引量：1
8唐荣荣.一类非线性问题的同伦解法(英文)[J].工程数学学报,2006,23(4):709-712. 被引量：1
9孙敏.一类奇摄动边值问题的边界层[J].吉林大学学报（理学版）,2006,44(4):567-569. 被引量：3
10王辉,林一骅,莫嘉琪.副热带圈和赤道太平洋SST的海—气振子模型[J].兰州大学学报（自然科学版）,2006,42(5):137-139. 被引量：2

1吴钦宽,莫嘉琪.间断非线性微分方程的奇摄动泛函边值问题[J].兰州大学学报（自然科学版）,2004,40(1):10-13. 被引量：4
2沈文国.一类泛函边值问题正解的存在性[J].兰州工业高等专科学校学报,2006,13(2):46-49.
3李晓燕.一类二阶常微分方程泛函边值问题解的存在性[J].兰州理工大学学报,2014,40(4):170-172. 被引量：4
4周韶林,韩晓玲.共振条件下泛函边值问题解的存在性[J].吉林大学学报（理学版）,2010,48(5):783-786. 被引量：1
5韩晓玲,马如云.一类泛函边值问题正解的存在性[J].西南师范大学学报（自然科学版）,2003,28(6):826-830. 被引量：1
6邹玉梅,崔玉军.一类泛函边值问题正解的存在性[J].科学技术与工程,2007,7(11):2464-2466.
7李瑞瑞.分数阶微分方程泛函边值问题解的存在性[J].黑龙江科技学院学报,2013,23(1):102-105.
8王俊禹,郑大伟.具有间断非线性的微分方程之正解的存在性[J].吉林大学自然科学学报,1996(1):17-20. 被引量：2
9杜睿娟.共振情形下四点泛函边值问题解的存在性[J].纯粹数学与应用数学,2013,29(3):255-263. 被引量：2
10杜睿娟,刘利平.共振情形下三阶泛函边值问题解的存在性[J].四川师范大学学报（自然科学版）,2016,39(5):682-685.

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