Multiplicity of Periodic Solutions for Third-Order Nonlinear Differential Equations

被引：0

作者：

Yang, Xuxin ^{[1
]}

Wang, Weibing ^{[2
]}

Lv, Dingyang ^{[1
]}

机构：

[1] Hunan First Normal Univ, Dept Math, Changsha 410205, Hunan, Peoples R China

[2] Hunan Univ Sci & Technol, Dept Math, Xiangtan 411201, Hunan, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷

关键词：

2ND-ORDER; EXISTENCE;

D O I：

10.1155/2015/735758

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the existence of periodic solutions for third-order nonlinear differential equations. The method of proof relies on Schauder's fixed point theorem applied in a novel way, where the original equation is transformed into second-order integrodifferential equation through a linear integral operator. Finally, examples are presented to illustrate applications of the main results.

引用

页数：7

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