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 a nonlinear impulsive dynamic equation with homogeneous Dirichlet boundary conditions. Also, we are interested in the solutions of the impulsive nonlinear pr...

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Bibliographic Details
Published inBoundary value problems Vol. 2013; no. 1; p. 119
Main Authors Otero-Espinar, Victoria, Pernas-Castaño, Tania
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 09.05.2013
BioMed Central Ltd
Subjects
Analysis
Approximations and Expansions
Boundary Value Problems
Difference and Functional Equations
Fixed Point Theory and Applications
General Inequalities
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Recent Advances in Operator Equations
second-order boundary value problem
time scales
impulsive dynamic equations
critical point theory
variational techniques
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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 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.
ISSN:1687-2770
1687-2770
DOI:10.1186/1687-2770-2013-119