GLOBAL BEHAVIOR OF POSITIVE SOLUTIONS TO A KIND OF THREE-POINT BOUNDARY VALUE PROBLEMS  

作　　者：Shumei Yu, Hongxi Wang (Dept. of Applied Math., Institute of Applied Math., Anhui Agricultural University, Hefei 230036) 

出　　处：《Annals of Differential Equations》2009年第4期473-482,共10页微分方程年刊（英文版）

基　　金：supported by NNSF of China (No.70671047);supported by the Foundation of President of Anhui Agriculture University (2008)

摘　　要：In this paper, using the fixed-point index theorems and the cone theory we study the structure of the positive solutions to a kind of second-order three-point boundary value problems. We obtain the result which guarantee that the positive solution set of the three-point boundary value problem has a continuum, which means that there exists a nonempty, closed and connected subset.In this paper, using the fixed-point index theorems and the cone theory we study the structure of the positive solutions to a kind of second-order three-point boundary value problems. We obtain the result which guarantee that the positive solution set of the three-point boundary value problem has a continuum, which means that there exists a nonempty, closed and connected subset.

关 键 词：fixed-point index CONTINUUM RETRACT 

分 类 号：O175.8[理学—数学]