English

Variational approach to second-order impulsive dynamic equations on time scales

Classical Analysis and ODEs 2013-04-29 v3

Abstract

The aim of this paper is to employ variational techniques and critical point theory to prove some conditions for the existence of solutions to nonlinear impulsive dynamic equation with homogeneous Dirichlet boundary conditions. Also we will be interested in the solutions of the impulsive nonlinear problem with linear derivative dependence satisfying an impulsive condition.

Keywords

Cite

@article{arxiv.1302.4666,
  title  = {Variational approach to second-order impulsive dynamic equations on time scales},
  author = {Victoria Otero-Espinar and Tania Pernas-Castaño},
  journal= {arXiv preprint arXiv:1302.4666},
  year   = {2013}
}

Comments

17 pages

R2 v1 2026-06-21T23:28:48.801Z