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

一类二阶常微分方程无穷多点边值问题多个正解的存在性

Existence of multiple positive solutions of ∞-point boundary value problems for a class second-order ordinary differential equation
下载PDF
导出
摘要 研究了一类二阶非线性常微分方程无穷多点边值问题多个正解的存在性,运用不动点指数理论及Hlder不等式得到了方程至少存在两个正解的若干充分条件,推广和改进了相关文献的结果. It studies the existence of multiple positive solutions to a type of ∞-point boundary value problem for nonlinear second-order ordinary differential equation, and some sufficient conditions of the existence with at least two positive solutions axe obtained by using the fixed point index theory and HSlder inequality. The results generalize and improve some known results of the related documents.
作者 王珍燕
机构地区 西北师范大学数学与信息科学学院
出处 《纯粹数学与应用数学》 CSCD 2010年第5期837-843,共7页 Pure and Applied Mathematics
关键词 无穷多点边值问题 不动点指数 正解 存在性 ∞-point boundary value problems, fixed point index, positive solution, existence
分类号 O175.7 [理学—基础数学]
  • 相关文献

参考文献5

  • 1IIin V A,Moiseev E I.Nonlocal boundary value problem of the first kind for a Sturm-liouville operator in its differertial and finite difference aspects[J].Differertial Equations,1987,23(7):803-810.
  • 2IIin V A,Moiseev E I.Nonlocal boundary value problem of the first kind for a Sturm-liouville operator[J].Differertial Equations,1987,23(8):979-987.
  • 3Gupta C P.Solvability of a nonlinear m-point boundary value problem for a second order ordinary differertial equation[J].J.Math.Anal.Appl.,1992,168:540-551.
  • 4Zhang Xuemei,Feng Meiqiang,Ge Weigao.Multiple positive solutions for a class of m-point boundary value problems[J].Applied Mathematics Letters,2009,22:12-18.
  • 5马如云,范虹霞,韩晓玲.二阶常微分方程无穷多点边值问题的正解[J].数学物理学报（A辑）,2009,29(3):699-706. 被引量：13

二级参考文献7

  • 1II'in V A, Moiseev E I. Nonlocal boundary value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects. Differential Equations, 1987, 23(7): 803-810.
  • 2II'in V A, Moiseev E I. Nontocal boundary value problem of the first kind for a Sturm-Liouville operator. Differential Equations, 1987, 23(8): 979 -987.
  • 3Gupta C P. Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation. J Math Anal Appl, 1992, 168:540-551.
  • 4Ma R. Positive solutions of a nonlinear m-point boundary value problem. Computers and Mathematics with Applications, 2001, 42:755-765.
  • 5Ma R. Positive solutions of a nonlinear three-point boundary value problem. Electron J Differential Equations, 1999, 34:1- 8.
  • 6Zhang G, Sun J. Positive solutions of m-point boundary value problem. J Math Anal Appl, 2004, 291(2): 404-418.
  • 7Dong S, Ge W. Positive solutions of m-point boundary value problem with sign change nonlinearities. Computers and Mathematics with Applications, 2005, 49:589-598.

共引文献12

纯粹数学与应用数学
2010年 第5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