POSITIVE SOLUTIONS TO A NONHOMO- GENEOUS NONAUTONOMOUS SECOND- ORDER BOUNDARY VALUE PROBLEM

• 作者: Qingliu Yao
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 二阶边值问题 正解的存在性 非自治 非齐次边界条件 不动点定理 生长行为 非线性 有界集
• 年，卷（期）: 2014,（4）
• 页码范围: 458-465
• 页数: 8页
• 分类号: O175.8

摘要

The existence of multiple positive solutions is studied for a nonlinear nonautonomous second-order boundary value problem with nonhomogeneous boundary conditions. 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.