Lagrangian Stability of a Class of Second‐Order Periodic Systems

Shunjun Jiang and Fang Fang

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We study the following second‐order periodic system: x′′ + V′(x) + p(t) = 0 where V(x) has a singularity and p(t) = p(t + 1). Under some assumptions on the V(x) and p(t), by Moser′s twist theorem we obtain the existence of quasiperiodic solutions and boundedness of all the solutions.

Date: 2011
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https://doi.org/10.1155/2011/106214

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:106214

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