Existence of Periodic Solution for a Class of Symmetric Superquadratic Second-Order Non-Autonomous Hamiltonian Systems

Qin Jiang; Sheng Ma

doi:10.4028/www.scientific.net/AMM.530-531.609

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 530-531Existence of Periodic Solution for a Class of...

Existence of Periodic Solution for a Class of Symmetric Superquadratic Second-Order Non-Autonomous Hamiltonian Systems

Abstract:

In the paper, by the symmetrical Mountain-Pass lemma in critical point theory, the existence of infinitely anti-and odd periodic solutions with a fixed period is obtained for a class of symmetric superquadratic non-autonomous Hamiltonian systems.

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Applied Mechanics and Materials (Volumes 530-531)

Pages:

609-612

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.530-531.609

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Online since:

February 2014

Authors:

Qin Jiang*, Sheng Ma

Keywords:

Mountain-Pass Lemma, Periodic Solutions, Symmetric Superquadratic Non-Autonomous Hamiltonian Systems

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