Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Acta Analysis Functionalis Applicata》 2008-01
Add to Favorite Get Latest Update

Periodic Boundary Value Problem for Second Order Nonlinear Ordinary Differential Equation in Banach Space

LI Xiang-feng Department of Mathematics, Longdong University, Qingyang Gansu 745000, China  
This paper investigates the existence of maximal and minimal solution of the periodic boundary problem for nonlinear second order ordinary differential equation with discontinuous terms in Banach spaces, by using upper and lower solution and fixed point theorem for increasing operators. Moreover, we extend and improve some recent results.
【Fund】: 甘肃省高等学校研究生导师科研项目(0710-04);; 陇东学院科研基金资助项目(xyzk0608)
【CateGory Index】: O177;O175
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Citations】
Chinese Journal Full-text Database 4 Hits
1 LI Yong Xiang (Department of Mathematics, Northwest Normal University, Lanzhou 730070, P R. China) (E-mail: liyx@nwnu.edu.cn);Positive Periodic Solutions of Nonlinear Second Order Ordinary Differential Equations[J];Acta Mathematica Sinica;2002-03
2 WANG Li (Department of Applied Mathematics,Hainan University,Haikou 570228,China);The Unique Solution for Periodic Boundary Value Problems of the Discontinuous Second Order Nonlinear Differential Equations[J];Mathematica Applicata;2006-03
3 ZHANG JINQING (Department Of Finance, Fudan University, Shanghai 200433; Basic Department, Shandong Finance Institute, Jinan 250014) SUN JINGXIAN (Department of Mathematics, Shandong University, Jinan 250100);A FIXED POINT THEOREM FOR DISCONTINUOUS INCREASING OPERATORS AND ITS APPLICATION[J];Acta Mathematicae Applicatae Sinica;2001-01
4 ZHOU YOUMING (Department of Basic Science, Jiangsu Teachers University of Technology, Changzhou 213015);Periodic Boundary Value Problems for Second Order Differential Equations in Banach Spaces[J];Acta Mathematicae Applicatae Sinica;2006-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 YANG He(College of Mathematics and Information Science,Northwest Normal University,Lanzhou Gansu 730070,China);Multiplicity and Existence of Positive Solutions for Second-Order Singular Periodic Boundary Value Problems[J];Journal of Qinghai Junior Teachers' College;2007-05
2 CHEN Shun-qing (Department of Mathematics,Daxian Teacher's College,Sichuan Dazhou 635000,China);Positive Periodic Solutions for a Class of Nonlinear Boundary Value Problems[J];Journal of Sichuan University (Natural Science Edition);2004-04
3 WU Xiao-rong~1 WANG Feng~2 (1.Department of Mathematics and Physics,Taizhou Teacher's College,Taizhou 225300,China) (2.School of Mathematics and Physics,Jiangsu Polytechnic University,Changzhou 213164,China);Existence of Positive Solution of Singular Second-order Periodic Boundary Value Problem[J];Mathematics in Practice and Theory;2008-23
4 ZHANG Ling zhong(College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,Gansu,China);The existence of positive periodic solutions ofnonlinear second order ordinary differential equations[J];Journal of Northwest Normal University(Natural Science Edition);2003-02
5 LIU Ya-ni(College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,Gansu,China);Positive periodic solution of nonlinear second order ordinary differential equations with changing sign of coefficents[J];Journal of Northwest Normal University(Natural Science);2007-05
6 YAO Qing-liu1, LI Yong-xiang2 (1. Dept. of Applied Mathem atics, Nan jing University of Finance and Econom ics, Nan jing 210003, China; 2. College of Mathem atics and Information Science, Northwest NormalUniversity, Lanzhou 730070, China);Existence and Multip licity of Solutions and Positive Solutions for Semipositive Neumann Boundary Value Problems[J];Journal of Southwest Jiaotong University;2005-04
7 SUN Jing-xian(Department of Mathematics, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China);The Study for the General Principle on Ordered Sets in Nonlinear Functional Analysis[J];Journal of Xuzhou Normal University(Natural Science Edition);2005-01
8 LU Hai-xia (College of Suqian,Suqian,Jiangsu,223800,China;Department of Mathematics,Xuzhou Normal University,Xuzhou,Jiangsu,2211 16,China);The Iterative Technique of Fixed Point for Increasing Operators and Its Application[J];Journal of Xuzhou Normal University(Natural Science Edition);2006-02
9 LI Xiang-feng, XU Hong-wu Department of Mathematics, Longdong University, Qingyang Gansu 745000, China;Periodic Boundary Value Problems for Nonlinear Second Order Ordinary Differential Equation with Discontinuous Terms in Banach Space[J];Acta Analysis Functionalis Applicata;2008-03
10 LIU XIPING JIA MEI ( College, of Science, University of Shanghai for Science and Technology, Shanghai 200093};PERIODIC SOLUTIONS TO A TYPE OF SECOND ORDER DIFFERENTIAL-ITERATIVE EQUATIONS[J];Acta Mathematicae Applicatae Sinica;2004-03
【Co-references】
Chinese Journal Full-text Database 2 Hits
1 ZHOU YOUMING (Department of Basic Science, Jiangsu Teachers University of Technology, Changzhou 213015);Periodic Boundary Value Problems for Second Order Differential Equations in Banach Spaces[J];Acta Mathematicae Applicatae Sinica;2006-03
2 LUO ZHIGUO (College of Mathematics and Computer Science, Jishou University, Jishou 416000) (Department of Mathematics, Hunan Normal University, Changsha 410081) WANG WEIBING (Department of Mathematics, Hunan Normal University, Changsha 410081);Existence of Solutions to Anti-periodic Boundary Value Problems for Second-Order Differential Equations[J];Acta Mathematicae Applicatae Sinica;2006-06
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 SUN JING-XIAN (Department of Mathematics,Shandong University,Jinan);GENERALIZATIONS OF THE GENERAL PRINCIPLE ON ORDERED SETS IN NONLINEAR FUNCTIONAL ANALYSIS[J];;1990-03
2 Yong xiang (Department of Mathematics,Nothwest Normal University,Lanzhou 730070,China);The method of lower and upper solutions for abstract second order periodic boundary value problems[J];JOURNAL OF NORTHWEST NORMAL UNIVERSITY(NATURAL SCIENCE EDITION);1999-04
3 Li Yongxiang (Department of Mathematics,Nothwest Normal University 730070 Lanzhou PRC);Periodic solutions for second order differential equations in Banach spaces[J];JOURNAL OF NORTHWEST NORMAL UNIVERSITY(NATURAL SCIENCE EDITION);1998-02
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved