Boundedness of Solutions for a Class of Second‐Order Periodic Systems

Shunjun Jiang and Yan Ding

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: In this paper we study the following second‐order periodic system: x′′ + V′(x) + p(x, t) = 0, where V(x) has a singularity. Under some assumptions on the V(x) and p(x, t) by Ortega’ small twist theorem, we obtain the existence of quasi‐periodic solutions and boundedness of all the solutions.

Date: 2013
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https://doi.org/10.1155/2013/267572

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:267572

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