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Existence of Periodic Solutions for the Duffing Equation with Impulses

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  • Xuxin Yang
  • Weibing Wang
  • Jianhua Shen

Abstract

We study the existence of solutions to the Duffing equation with impulses. By means of the Poincaré-Birkhoff fixed point theorem under given conditions, we obtain the sufficient condition of existence of infinitely many solutions. Our results generalize those of T. R. Ding. An example is presented to demonstrate applications of our main result.

Suggested Citation

  • Xuxin Yang & Weibing Wang & Jianhua Shen, 2012. "Existence of Periodic Solutions for the Duffing Equation with Impulses," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-13, April.
    • Handle: RePEc:hin:jnlmpe:903653
    DOI: 10.1155/2012/903653
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