Periodic solutions for discrete convex Hamiltonian systems via Clarke duality

Jianshe Yu; Honghua Bin; Zhiming Guo

doi:10.3934/dcds.2006.15.939

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2006, Volume 15, Issue 3: 939-950. Doi: 10.3934/dcds.2006.15.939

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Periodic solutions for discrete convex Hamiltonian systems via Clarke duality

1.
College of Mathematics and Econometrics, Hunan University, College of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong, 510405
2.
College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, 410082
3.
College of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong, 510405

Received: May 31, 2005

Revised: December 31, 2005

Published: August 2006

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Abstract

Based on the Legendre transform, the dual action functional which corresponds to discrete Hamiltonian systems is given. In this paper, the existence of periodic solution for discrete convex Hamiltonian systems with forcing terms is obtained by using the dual least action principle and the perturbation technique.

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Mathematics Subject Classification: 39A11.

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