Existence of Periodic Solutions for the Duffing Equation with Impulses

Xuxin Yang, Weibing Wang and Jianhua Shen

Mathematical Problems in Engineering, 2012, vol. 2012, 1-13

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:903653

DOI: 10.1155/2012/903653

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