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Infinitely many periodic solutions of non-autonomous second-order Hamiltonian systems

Published online by Cambridge University Press:  30 January 2014

Yiwei Ye  and
Chun-Lei Tang
Yiwei Ye
Affiliation:
School of Mathematics and Statistics, Southwest University, Chongqing 400715, People's, Republic of China ([email protected])
Chun-Lei Tang
Affiliation:
School of Mathematics and Statistics, Southwest University, Chongqing 400715, People's, Republic of China ([email protected])
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Abstract

In this paper, we study the existence of infinitely many periodic solutions for the non-autonomous second-order Hamiltonian systems with symmetry. Based on the minimax methods in critical point theory, in particular, the fountain theorem of Bartsch and the symmetric mountain pass lemma due to Kajikiya, we obtain the existence results for both the superquadratic case and the subquadratic case, which unify and sharply improve some recent results in the literature.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 1 , February 2014 , pp. 205 - 223
Copyright
Copyright © Royal Society of Edinburgh 2014 

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