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Periodic solutions for second order Hamiltonian systems

Qiongfen Zhang, X. H. Tang (2012)

Applications of Mathematics

By using the least action principle and minimax methods in critical point theory, some existence theorems for periodic solutions of second order Hamiltonian systems are obtained.

Periodic solutions for second-order Hamiltonian systems with a p -Laplacian

Xianhua Tang, Xingyong Zhang (2010)

Annales UMCS, Mathematica

In this paper, by using the least action principle, Sobolev's inequality and Wirtinger's inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.

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