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A priori bounds for periodic solutions of a Duffing equation
Journal article   Peer reviewed

A priori bounds for periodic solutions of a Duffing equation

Xinmin Wu, Jingwen Li and Yong Zhou
Journal of applied mathematics & computing, Vol.26(1-2), pp.535-543
01/02/2008
DOI: https://doi.org/10.1007/s12190-007-0024-1

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper a well known Duffing type equation is considered. By means of a Liapunov function and careful estimation, we establish a priori bounds for periodic solutions and their derived functions. Coincidence theorems can then be applied to yield sufficient conditions for the existence of periodic solutions. Our conclusion improve several well known results in the literature.

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