Subharmonic solutions for a class of second-order impulsive Lagrangian systems with damped term
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:10.1186/1687-2770-2013-218Published: 7 November 2013
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.