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《Journal of Sichuan University (Natural Science Edition)》 2005-03
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A Class of Singularly Perturbed Semilinear Boundary Value Problem with Mixed Boundary Conditions

HUANG Xiang-jiao~(1,2), LIU Shu-de~3, GONG Hao~1, LU Yu-rong~1(1. Department of Amplied Mathematics, College of Information Management,Chengdu University of Technology, Chengdu 610059, China;2. Nanchang Institute of Aeronautical Technology, Nanchang 330034, China;3. Department of Mathematics, Anhui Normal Unversity, Anhui Wuhu 241000, China)  
A class of singularly perturbed second order semilinear boundary value problems with mixed boundary conditions are studied. Under the construction of a formal approximation of the boundary value problem, the formal asymptotic expansion for the solution of the problem is obtained. Then the existence of solution is proved and the uniformly valid asymptotic expansion of arbitrary order is obtained by using the theory of differential inequalities.
【CateGory Index】: O175.14
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 Zhang Xiang(Dept.of Math.Nanjing University 210093);Nonlinear Boundary Value Problems for Integro-differential Equations of Volterrs Type[J];JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION;1995-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 HUANG Xiang-jiao~1,2 , GONG Hao1 1.College of Information Management, Chengdu University of Technology, Chengdu 610059, China; 2.Nanchang Institute of Aeronautical Technology, Nanchang 330034, China;A class of singularly perturbed integral differential equation boundary value problem[J];Journal of Chengdu University of Technology(Science & Technology Edition);2005-03
2 WANG Guo-can, JIN Li (Dalian Railway Institute, Dalian 116028, China);Two Point Boundary Value Problems for Second Order Integrodifferential System[J];Journal of Dalian Railway Institute;2003-02
3 WU Qin-kuan(Dept. of Basic Courses, Nanjing Institute of Technology, Nanjing210013, China);A class of boundary-value problem with singular perturbation for third-order nonlinear equations[J];Journal of Gansu University of Technology;2003-04
4 WU Qin-kuan (Department of Basic Courses,Nanjing Institute of Technology,Nanjing 210013,China);Nonlinear boundary value problems for singularly perturbed integral differential equations[J];Journal of Lanzhou University(Natural Sciences);2007-04
5 WU Qin-kuan(Department of Basic Courses,Nanjing Institute of Technology,Nanjing 211167,China);A Class Boundary Value Problem with Singular Perturbation for Third Order Nonlinear Differential Equation[J];Journal of Nanchang University(Natural Science);2006-05
6 MING Wan-yuan, HUANG Xiang-jiao (Nanchang Hangkong University, Nanchang 330063, China);A Class of Singularly Perturbed Quasilinear Boundary Value Problems with Mixed Boundary Conditions[J];Journal of Nanchang Hangkong University(Natural Science);2008-04
7 WU Qin-kuan(Dept.of Basic Courses,Nanjing Institute of Technology,Nanjing 211167,China);On Problems of Third Order Nonlinear Boundary Value of Singular Perturbation[J];Journal of Nanjing Institute of Technology(Natural Science Edition);2008-01
8 Wu Qinkuan(Wuhu United College 241000);Singularly Perturbed Nonlinear Boundary Value Problems for Integro-differential Equations with Turning Point[J];JOURNAL OF MATHEMATICAL STUDY;1997-01
9 Wang Guocan(Dalian Railway Institute, Dalian 116028);EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR BOUNDARY VALUE PROBLEMS OF VOLTERRA TYPE INTEGRO-DIFFERENTIAL EQUATIONS[J];Journal of Mathematics;1997-03
10 Wu Zhaorong; Zhu Liqin (Department Mathematics, Jinan University);THE FIRST AND SECOND BOUNDARY VALUE PROBLEM OFINTEGRAL-DIFFERENTIAL EQUATION IN BANACH SPACE[J];Journal of Liaocheng Teachers College(Natural Science Edition);1996-03
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