期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

NONTRIVIAL SOLUTIONS TO SINGULAR BOUNDARY VALUE PROBLEMS FOR FOURTH-ORDER DIFFERENTIAL EQUATIONS 被引量：1

NONTRIVIAL SOLUTIONS TO SINGULAR BOUNDARY VALUE PROBLEMS FOR FOURTH-ORDER DIFFERENTIAL EQUATIONS
原文传递
导出
摘要 The singular boundary value problems for fourth-order differential equations are considered under some conditions concerning the first eigenvalues of the relevant linear operators. Sufficient conditions which guarantee the existence of nontrivial solutions are obtained. We use the topological degree to prove our main results. The singular boundary value problems for fourth-order differential equations are considered under some conditions concerning the first eigenvalues of the relevant linear operators. Sufficient conditions which guarantee the existence of nontrivial solutions are obtained. We use the topological degree to prove our main results.
作者 Wang Feng1, Cui Yujun2, Zhang Fang1 (1. School of Math. and Physics, Jiangsu Polytechnic University, Changzhou 213164, Jiangsu 2. Dept. of Applied Math., Shandong University of Science and Technology, Qingdao 266510, Shandong)
出处 《Annals of Differential Equations》 2008年第3期326-335,共10页 微分方程年刊（英文版）
基金 the National Natural Science Foundation of China (10671167).
关键词 SINGULAR nontrivial solutions boundary value problems topology degree singular nontrivial solutions boundary value problems topology degree
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献8

  • 1R. Ma.Existence of positive solutions of a fourth-order boundary value problem[].Applied Mathematics and Computation.2005
  • 2D. Guo,J. Sun.Nonlinear Integral Equations[]..1987
  • 3Agarwal R P.On Fourth Order Boundary ValueProblems Arisingin Beam Analysis[].Differential and Integral Equa-tions.1989
  • 4MA Ru-yun,WANG Hai -yan.On the existence of positive solutions of fourth-order ordinary differential equations[].Applicable Analysis.1995
  • 5Ma R Y,Zhang J H,Fu S M.The Method of Lower and Upper Solutions for Fourth-order Two-point Boundary Value Problems[].Journal of Mathematical Analysis and Applications.1997
  • 6MA R.Multiple positive solutions for a semipositone fourth-order bounadry value problem[].Hiroshima Mathematical Journal.2003
  • 7Sun Jingxian,Zhang Guowei.Nontrivial solutions of singular superlinear Sturm-Liouville problems[].Journal of Mathematical Analysis and Applications.2006
  • 8D. Guo,V. Lakshmikantham.Nonlinear Problems In Abstract Cones[]..1988

同被引文献10

引证文献1

二级引证文献2

Annals of Differential Equations
2008年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部