Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Systems Science and Mathematical Sciences》 2008-01
Add to Favorite Get Latest Update

INFINITELY MANY SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR A CLASS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS

SHU Xiaobao (Department of Mathematics,Hunan University,Changsha 410082)  
By means of variational structure and Z_2 group index theory,infinitely many solutions of boundary value problems for second-order ordinary differential equations u″(t)-u(t)+f(t,u(t))=0,0t1,u′(0)=0,α_1u(1)+u′(1)=0, are obtained,whereα_1-1/2.
【Fund】: 高等学校博士点专项科研基金(20020558092);; 广东省自然科学基金(031608);; 国家自然科学基金(10471155);; 湖南省博士后科研资助专项计划(2006FJ4249)资助项目.
【CateGory Index】: O175.1
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 Zhang Fengqin;Wang Jirong(Yuncheng Advanced College for Professional Training, Yunchen 044000);SINGULAR BOUNDARY VALUE PROBLEMS FOR SECONDORDER NONLINEAR ORDINARYD DIFFERENTIAL EQUATIONS[J];JOURNAL OF SHANXI UNIVERSITY (NATURAL SCIENCE EDITION);1995-04
2 HAN Zhi-qing (Institute of Mathematicol Sciences, Dalian University of Technology, Dalian 116024, P. R. China) (E-mail: hanzhiq@dlut.edu.cn);2π-Periodic Solutions to Ordinary Differential Systems at Resonance[J];ACTA MATHEMATICA SINICA;2000-04
3 XU Yuan Tong;GUO Zhi Ming (Department of Mathemattcs, Zhongshan University, Guangzhou 510275, P. R. China) (E-mail: zyt@zsu. edu.cn);Applications of a Geometrical Index Theory to Functional Differential Equations[J];Acta Mathematica Sinica;2001-06
4 Ru Yun MA (Department of Mathematics, Northwest Normal University, Lanzhou 730070, P. R. China);Existence of Positive Solutions for a Nonlinear m-Point Boundary Value Problem[J];Acta Mathematica Sinica;2003-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 MENG Haixia (Mathmatics and Information Science, College of Northwest Normal University, Lanzhou 730070,China);Multiplicity of Solutions for a Class of Semilinear Ellipitic Equations[J];Journal of Anqing Teachers College(Natural Science Edition);2003-04
2 GUO Ya-mei,WANG Heng-bin (Department of Mathematics,Anyang Normal College,Anyang 455000,China);The Fixed Point of A Monotone Operator[J];Journal of Anyang Teachers College;2006-05
3 Lu Hongbin(Jilin Teacher College);Existence of the solutions for the semi-linear elliptic equations[J];;1997-01
4 Wang Qingyun (Dept.of Basic Sciences,Shan Xi College of Architectural Technology,Shanxi Taiyuan 030006);Multiple Solutions for a Nonlinear Second-Order Differential Equation Boundary Value Problem[J];Journal of Beijing University of Civil Engineering and Architecture;2008-02
5 $$$$ Wang Hongzhou;Ge Weigao (Department of Applied Mathematics, Beijig Institute of Technology, Beijing 100081);Singular Boundary Value Problem with Time Delay[J];JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY;1998-05
6 NIU Xiu-yan~1 JIANG Xiao-jun~2 YANG Xiao-jing~1 LI Jian-hong~1 ZHANG Rui-feng~1 (1.Department of Mathematics and Physics,Hebei Science Normal College,Qinhuangdao 066004, China;2.College of Computer Sciences,Beijing University of Technology,Beijing 100022,China);ON EXISTENCE OF PERIODIC SOLUTION FOR A DIFFERENTIAL EQUATION WITH DELAYS[J];Journal of Beijing Technology and Business University(Natural Science Edition);2009-01
7 GAO Li Binzhou Teachers College,Binzhou 256600,China;Existence of Solutions for the Nonlinear First Order Integro-differential Equations with Impulsive[J];Journal of Binzhou Teachers College;2004-02
8 GAO Li,ZHANG Ce(Department of Mathematics and Information Science,Binzhou University,Binzhou 256603,China);Initial Value Problems for First Order Nonlinear Impulsive Integral-differential Equations[J];Journal of Binzhou University;2005-06
9 LIU Ru-chen (Department of preparatory Courses,Liaoning College of Communication,Senyang 110122,China);Positive Solutions of Singular Nonlinear Sturm-Liouville Problems[J];Journal of Changchun Teachers Coliege;2005-12
10 TIAN Ying-hui(Normal Department of Fuxin College,Fuxin 123000,China);Positive Solutions to A Kind of Second-order Periodic Boundary Value Problems[J];Journal of Changchun Normal University;2007-12
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved