Elsevier

Applied Mathematics Letters

Volume 85, November 2018, Pages 88-94
Applied Mathematics Letters

Solutions with minimal period for non-autonomous second-order Hamiltonian systems☆

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Abstract

In this paper, we study the existence of subharmonic solutions with prescribed minimal period for a class of second-order Hamiltonian systems with even potentials. By using the variational methods, we obtain some new existence theorems which improve some recent results in the literature.

Keywords

Minimal period
Critical points
Second-order Hamiltonian systems
Least action principle

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☆

Supported by the Natural Science Foundation of Chongqing (cstc2017jcyjAX0044), the National Natural Science Foundation of China (11471267).

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