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Multiplicity of Periodic Solutions for Third-Order Nonlinear Differential Equations

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  • Xuxin Yang
  • Weibing Wang
  • Dingyang Lv

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.

Suggested Citation

  • Xuxin Yang & Weibing Wang & Dingyang Lv, 2015. "Multiplicity of Periodic Solutions for Third-Order Nonlinear Differential Equations," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-7, April.
    • Handle: RePEc:hin:jnlmpe:735758
    DOI: 10.1155/2015/735758
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