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Open Access Research

Subharmonic solutions for a class of second-order impulsive Lagrangian systems with damped term

Xingyong Zhang

Author Affiliations

Department of Mathematics, Faculty of Science, Kunming University of Science and Technology, Kunming, Yunnan, 650500, P.R. China

Boundary Value Problems 2013, 2013:218  doi:10.1186/1687-2770-2013-218

Published: 7 November 2013

Abstract

In this paper, by using the mountain pass theorem, we investigate the existence of subharmonic weak solutions for a class of second-order impulsive Lagrangian systems with damped term under asymptotically quadratic conditions. Some new existence criteria are established. Finally, an example is presented to verify our results.

MSC: 37J45, 34C25, 70H05.

Keywords:
impulsive Lagrangian systems; damped term; subharmonic weak solutions; mountain pass theorem