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Periodic solutions of second-order nonautonomous dynamical systems

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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Correspondence to Martin Schechter.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Schechter, M. Periodic solutions of second-order nonautonomous dynamical systems. Bound Value Probl 2006, 25104 (2006). https://doi.org/10.1155/BVP/2006/25104

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