Multiplicity of Periodic Solutions for Third-Order Nonlinear Differential Equations

Xuxin Yang, Weibing Wang and Dingyang Lv

Mathematical Problems in Engineering, 2015, vol. 2015, 1-7

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:735758

DOI: 10.1155/2015/735758

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