EXISTENCE OF POSITIVE SOLUTIONS TO SUBLINEAR SECOND-ORDER PERIODIC BOUNDARY VALUE PROBLEM  

作　　者：Shujun Jiang 

机构地区：[1]Dept. of Math. and Management Science, Jiangxi University of Finance and Economics

出　　处：《Annals of Differential Equations》2013年第1期25-33,共9页微分方程年刊（英文版）

基　　金：Supported by National Natural Science Foundation of China (11161022);Natural Science Foundation of Jiangxi Province (20114BAB211006 and 20122BAB201015);Educational Department of Jiangxi Province (GJJ12280)

摘　　要：In this paper, we consider a second-order periodic boundary value problem. By the topological degree theory and fixed point index theory, we prove the existence of positive solutions which gives the relationship between the first positive eigenvalue of the associated eigenvalue problem and the behavior of the nonlinear term of the system.In this paper, we consider a second-order periodic boundary value problem. By the topological degree theory and fixed point index theory, we prove the existence of positive solutions which gives the relationship between the first positive eigenvalue of the associated eigenvalue problem and the behavior of the nonlinear term of the system.

关 键 词：positive solutions periodic boundary value problem unbounded from below fixed point index theory topological degree 

分 类 号：O175.8[理学—数学]