Electron. J. Diff. Eqns., Vol. 2009(2009), No. 17, pp. 1-12.

Periodic solutions of non-autonomous second order systems with p-Laplacian

Zhiyong Wang, Jihui Zhang

Abstract:
We prove the existence of periodic solutions for non-autonomous second order systems with p-Laplacian. Our main tools are the minimax methods in critical point theory. Our results are new, even when p=2.

Submitted August 26, 2008. Published January 20, 2009.
Math Subject Classifications: 34B15, 47J30, 58E05.
Key Words: Periodic solutions; Hamiltonian system; p-Laplacian

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Zhiyong Wang
Institute of Mathematics, School of Mathematics and Computer Sciences
Nanjing Normal University, 210097, Jiangsu, China
email: mathswzhy1979@gmail.com
Jihui Zhang
Institute of Mathematics, School of Mathematics and Computer Sciences
Nanjing Normal University, 210097, Jiangsu, China
email: jihuiz@jlonline.com

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