Research
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:10.1186/1687-2770-2012-148
Published: 21 December 2012Abstract
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.
