数学物理学报(英文版)

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A NOVEL FIXED POINT THEOREM AND ITS APPLICATIONS

翟成波; 郭春梅   

  1. 山西大学数学系, 太原 030006
  • 收稿日期:2005-02-25 修回日期:1900-01-01 出版日期:2007-04-20 发布日期:2007-04-20
  • 通讯作者: 翟成波
  • 基金资助:

    This study was supported by National Natural Science Foundation of China (10371068) and Science Foundation of Shanxi Province (20041003)

A NOVEL FIXED POINT THEOREM AND ITS APPLICATIONS

Zhai Chengbo; Guo Chunmei   

  1. Department of Mathematics, Shanxi University, Taiyuan 030006, China
  • Received:2005-02-25 Revised:1900-01-01 Online:2007-04-20 Published:2007-04-20
  • Contact: Zhai Chengbo

摘要:

In this article, a novel fixed point theorem in C[0,1] space is established by
using the properties of fixed point index. This theorem is then applied to
prove the existence of positive solutions for three-point boundary value problems and generalizes some previous results.

关键词: Fixed point, cone, positive solution, three-point boundary value problem

Abstract:

In this article, a novel fixed point theorem in C[0,1] space is established by
using the properties of fixed point index. This theorem is then applied to
prove the existence of positive solutions for three-point boundary value problems and generalizes some previous results.

Key words: Fixed point, cone, positive solution, three-point boundary value problem

中图分类号: 

  • 47H10