Variational approach to second-order impulsive dynamic equations on time scales
1 Departamento de Análise Matemática, Universidade de Santiago de Compostela, Santiago de Compostela, Galicia, 15782, Spain
2 Instituto de Ciencias Matemáticas (CSIC, UAM, UC3M, UCM), Madrid, 28049, Spain
Boundary Value Problems 2013, 2013:119 doi:10.1186/1687-2770-2013-119Published: 9 May 2013
The aim of this paper is to employ variational techniques and critical point theory to prove some conditions for the existence of solutions to a nonlinear impulsive dynamic equation with homogeneous Dirichlet boundary conditions. Also, we are interested in the solutions of the impulsive nonlinear problem with linear derivative dependence satisfying an impulsive condition.
MSC: 34B37, 34N05.