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A NOVEL FIXED POINT THEOREM AND ITS APPLICATIONS
作者姓名:翟成波  郭春梅
作者单位:Department of Mathematics Shanxi University,Department of Mathematics Shanxi University,Taiyuan 030006,China,Taiyuan 030006,China
基金项目:国家自然科学基金,山西省自然科学基金
摘    要:In this article, a novel fixed point theorem in C0,1] 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:不动点定理  应用    正解  三点边值问题
收稿时间:2005-02-25

A novel fixed point theorem and its applications
Chengbo Zhai,Chunmei Guo.A NOVEL FIXED POINT THEOREM AND ITS APPLICATIONS[J].Acta Mathematica Scientia,2007,27(2):413-420.
Authors:Chengbo Zhai  Chunmei Guo
Institution:aDepartment of Mathematics, Shanxi University, Taiyuan 030006, China
Abstract:In this article, a novel fixed point theorem in C0, 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.
Keywords:Fixed point  cone  positive solution  three-point boundary value problem
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