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

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 p...

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Bibliographic Details
Published in:arXiv.org 2013-04
Main Authors: Otero-Espinar, Victoria, Pernas-Castaño, Tania
Format: Article
Language:English
Subjects:
Boundary conditions
Critical point
Dependence
Dirichlet problem
Online Access:Get full text
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Summary: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.
ISSN:2331-8422