Existence and multiplicity of solutions for some second-order systems on time scales with impulsive effects
1 Department of Mathematics, Yunnan University, Kunming, Yunnan, 650091, People’s Republic of China
2 Oxbridge College, Kunming University of Science and Technology, Kunming, Yunnan, 650106, People’s Republic of China
Boundary Value Problems 2012, 2012:148 doi:10.1186/1687-2770-2012-148Published: 21 December 2012
In this paper, we present a recent approach via variational methods and critical point theory to obtain the existence of solutions for the nonautonomous second-order system on time scales with impulsive effects
where , (), , is a symmetric matrix-valued function defined on with for all , (, ) are continuous and . Finally, two examples are presented to illustrate the feasibility and effectiveness of our results.
MSC: 34B37, 34N05.