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《Basic Sciences Journal of Textile Universities》 2009-01
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Existence and uniqueness of solutions for linear three-point boundary value problem for third-order nonlinear equation

DU Yuan-fang,WANG Guo-can(School of Math. & Phys., Dalian Jiaotong University,Dalian,Liaoning 116028,China)  
A class of linear three-point boundary value problems of third order nonlinear differential equation was studied by means of differential inequality theories.Based on the given results of second order boundary value problem, the existence of solutions of nonlinear boundary value problem of Volterra type integro-differential nonlinear equation was established. The uniquess of solution was obtained by applying disproof method.The suit upper and lower solution were constructed, and existence and unique of solutions of linear three-point boundary value problem for third order nonlinear differential equation were obtained.The result shows that is seems new to apply these technique to solving other boundary value problems.
【CateGory Index】: O175.8
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【References】
Chinese Journal Full-text Database 1 Hits
1 JIN Li,WANG Guo-can(School of Math.and Phys.,Dalian Jiaotong University,Dalian,Liaoning 116028,China);Third order singular perturbation boundary value problem with nonlinear three-point boundary value condition[J];Basic Sciences Journal of Textile Universities;2009-03
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1 SHEN Jianhe1,YU Zanping2,ZHOU Zheyan2(1.Department of Applied Mechanics and Engineering,Sun Yat-sen University,Guangzhou 510275,China;2.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China);Existence of solution to nonlinear three-point boundary value problem for nonlinear third-order nonlinear ordinary differential equation[J];Pure and Applied Mathematics;2007-03
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【Co-citations】
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1 SHEN Jianhe1,YU Zanping2,ZHOU Zheyan2(1.Department of Applied Mechanics and Engineering,Sun Yat-sen University,Guangzhou 510275,China;2.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China);Existence of solution to nonlinear three-point boundary value problem for nonlinear third-order nonlinear ordinary differential equation[J];Pure and Applied Mathematics;2007-03
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5 WANG Guo-can(Dept. of Basic Science & Engineering, Dalian Railway Institute, Dalian 116028, China);Third-Order Boundary Value Problem Containing a Small Parameter for the Derivatives[J];Journal of Dalian Railway Institute;2002-03
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10 WANG Guo-can(Dept.of Basic & Social Science, Dalian Railway Institute, Dalian,Liaoning 116028,China);On third order boundary value problem containing a small parameter for the derivatives[J];Basic Sciences Journal of Textile Universities;2003-01
【Co-references】
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1 XU Guo-an,YU Zan-ping,ZHOU Zhe-yan(School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007, China);Singular Perturbation of Three-point Boundary Value Problem for Third Order Semilinear Differential Equations[J];Journal of Fujian Normal University(Natural Science Edition);2006-03
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1 Shi Xifu;EXISTENCE OF SOLUTIONS FOR THREE-POINT BOUNDARY PROBLEMS FOR THIRD ORDER DIFFERENTIAL EQUATIONS[J];Journal of Northeast Normal University;1990-04
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