Open Access

Periodic solutions of second-order nonautonomous dynamical systems

Boundary Value Problems20062006:25104

https://doi.org/10.1155/BVP/2006/25104

Received: 13 March 2006

Accepted: 15 May 2006

Published: 31 August 2006

Abstract

We study the existence of periodic solutions for second-order nonautonomous dynamical systems. We give four sets of hypotheses which guarantee the existence of solutions. We were able to weaken the hypotheses considerably from those used previously for such systems. We employ a new saddle point theorem using linking methods.

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Authors’ Affiliations

(1)
Department of Mathematics, University of California

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© Schechter 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.