Variational Approach to Quasi‐Periodic Solution of Nonautonomous Second‐Order Hamiltonian Systems

Juhong Kuang

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We deal with the quasi‐periodic solutions of the following second‐order Hamiltonian systems x¨(t) = ∇F(t, x(t)), where x(t) = (x1(t), …, xN(t)), and we present a new approach via variational methods and Minmax method to obtain the existence of quasi‐periodic solutions to the above equation.

Date: 2012
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https://doi.org/10.1155/2012/271616

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:271616

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