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非线性二阶周期边值问题的正解

安天庆 王炳艳

安徽大学学报(自然科学版)2012,Vol.36Issue(3):8-12,5.
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

安天庆 1王炳艳1

作者信息

  • 1. 河海大学理学院,江苏南京210098
  • 折叠

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//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)

安徽大学学报(自然科学版)

OA北大核心CSTPCD

1000-2162

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