数学物理学报 ›› 2010, Vol. 30 ›› Issue (1): 258-266.

• 论文 • 上一篇    下一篇

二阶非线性微分方程组多点边值问题的正解

谢胜利   

  1. 安徽建筑工业学院数理系 合肥 |230601
  • 收稿日期:2008-05-19 修回日期:2009-10-20 出版日期:2010-01-01 发布日期:2010-01-01
  • 基金资助:

    安徽建筑工业学院人才引进基金(20071201)资助

Positive Solutions of Multiple-point Boundary Value Problems for Systems of Nonlinear Second Order Differential Equations

XIE Sheng-Li   

  1. Department of Mathematics &|Physics, Anhui University of Architecture, Hefei 230601
  • Received:2008-05-19 Revised:2009-10-20 Online:2010-01-01 Published:2010-01-01
  • Supported by:

    安徽建筑工业学院人才引进基金(20071201)资助

摘要:

该文使用不动点指数理论,研究二阶奇异非线性微分方程组多点边值问题的正解和多个正解的存在性. 给出某些保证解的存在性的极限条件,这些条件适用于较一般的函数.

关键词: 多点边值问题, 正解, 锥, 不动点指数

Abstract:

In this paper, by means of fixed point index theory, the existence of positive solutions and multiple positive solutions of m-point boundary value problems for the system of nonlinear second order singular differential equations are studied. Some limit type conditions for ensuring the existence of the solutions are given, which are applicable for more general functions.

Key words: Multi-point boundary value problem, Positive solution, Cone, Fixed point index

中图分类号: 

  • 34A34