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《CHINESE JOURNAL OF ENGINEERING MATHEMATICS》 1998-02
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The Boundary Value Problem for Discontinuous Nonlinear Second Order Differential Equations

Liu Yansheng Qi Jiangang (Dept. of Mathematics, Shandong Normal University,Jinan 250014)  
Abstract In this paper, we are concerned the boundary value problem (BVP) for nonlinear differential equations with caratheodory function f(t,u,v). We obtained an existence result which removes the Lipschtiz condition in the third variable for f in by using the gereralized upper and lower solutions method. Meanwhile, we proved that there exist extremal solutions for BVP using the monotone iterative method. The main results in this paper improved and extended the corresponding results in and .
【Fund】: 山东省自然科学基金
【CateGory Index】: O175.14
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【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Chen Songlin (Department of Mathematics);ASYMPTOTIC BEHAVIOR OF THE SOLUTION OF SINGULARLY PERTURBED THREE—POINT BOUNDARY VALUE PROBLEM FOR THE NONLINEAR EQUATION ε~2Y″′= (X, Y, Y′, ε)[J];Journal of Anhui Normal University(Natural Science);1988-04
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4 SHI Lei,WANG Guo-can(School of Software,Dalian Jiaotong University,Dalian,Liaoning 116028,China);Existence and uniqueness of solutions for Robin boundary value problems of third order nonlinear differential-difference equation[J];Basic Sciences Journal of Textile Universities;2008-02
5 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
6 HUANG Liu-ling,YU Zan-ping,ZHOU Zhe-yan (School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China);Two-point Boundary Value Problem for Third Order Differential Equations which doesn't Satisfy Nagumo's Condition[J];Journal of Fujian Normal University(Natural Science Edition);2008-02
7 Yu Zanping (Department of Mathematics,Fujian Teachers Univesity,Fuzhou 350007);The Nonlinear Three Point Boundary Value Problem of Third Order Differential Equations[J];JOURNAL OF FUJIAN TEACHERS UNIVERSITY(NATURAL SCIENCE);1998-03
8 Song Guangxing (Dept.Appl Math.,University of Petroleum,Shandong Dongying 257062);Existence and Uniqueness of Solutions for Two point Boundary Value Problem of Second Order Ordinary Differential Equations in Abstract Spaces[J];CHINESE JOURNAL OF ENGINEERING MATHEMATICS;1999-04
9 MA De-xiang1 , CHEN Xue-gang( 1-Department of Mathematics, Beijing Institute of Technology, Beijing 100081;2-College of Info Science and Engg, SUST, Taian 271019 );Two-point Boundary Value Problems of Ordinary Differential Equations in Banach Space[J];Chinese Journal of Engineering Mathematics;2004-05
10 ZHANG Xiao-yan1, SUN Jing-xian2, SU Jun3 (1- School of Mathematics and System Science, Shandong University, Jinan 250100; 2- Department of Mathematics, Xuzhou Normal University, Xuzhou 221116; 3- School of Science, Jinan University, Jinan 250022 );Periodic Boundary Value Problems of Nonlinear Second Order Integro-differential Equations in Banach Spaces[J];Chinese Journal of Engineering Mathematics;2004-06
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