POSITIVE SOLUTIONS TO A NONHOMOGENEOUS NONAUTONOMOUS SECONDORDER BOUNDARY VALUE PROBLEM  

作　　者：Qingliu Yao 

机构地区：[1]Dept.of Applied Math., Nanjing University of Finance and Economics

出　　处：《Annals of Differential Equations》2014年第4期458-465,共8页微分方程年刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(11071109)

摘　　要：The existence of multiple positive solutions is studied for a nonlinear nonauto- nomous second-order boundary value problem with nonhomogeneous boundary con- ditions. In order to describe the growth behaviors of nonlinearity on some bounded sets, two height functions are introduced. By considering the integrals of the height functions and applying the Krasnosel＇skii fixed point theorems on a cone, several new results are proved.The existence of multiple positive solutions is studied for a nonlinear nonauto- nomous second-order boundary value problem with nonhomogeneous boundary con- ditions. In order to describe the growth behaviors of nonlinearity on some bounded sets, two height functions are introduced. By considering the integrals of the height functions and applying the Krasnosel＇skii fixed point theorems on a cone, several new results are proved.

关 键 词：nonlinear ordinary differential equation nonhomogeneous boundary value problem positive solution fixed point theorem 

分 类 号：O175.8[理学—数学] O175.2[理学—基础数学]