安徽大学学报(自然科学版)2012,Vol.36Issue(3):8-12,5.
非线性二阶周期边值问题的正解
Positive periodic solutions to nonlinear second order petiosic boundary value problems
摘要
Abstract
Periodic boundary value problem was an important subject in the nonlinear analysis and had extensive applications in some practical problems. In this paper,we investigated the multiplicity of positive solutions to some nonlinear second order periodic boundary value problem by using the fixed point theorem of cone expansion and compression.By the aid of the Green function of a class of linear problem,we obtained some existence results of at least two positive periodic solutions to periodic boundary value problem.关键词
周期解/不动点/锥/非线性微分方程Key words
periodic solutions/fixed point/cone/nonlinear differential equation分类
数理科学引用本文复制引用
安天庆,王炳艳..非线性二阶周期边值问题的正解[J].安徽大学学报(自然科学版),2012,36(3):8-12,5.基金项目
Supported by National Natural Science Foundation of China (10871059) (10871059)