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

Juhong Kuang

Abstract and Applied Analysis, 2012, vol. 2012, 1-14

Abstract:

We deal with the quasi-periodic solutions of the following second-order Hamiltonian systems x ¨ ( t ) = ∇ F ( t , x ( t ) ) , where x ( t ) = ( x 1 ( t ) , … , x N ( 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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:271616

DOI: 10.1155/2012/271616

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