Existence of solutions for sturm-liouville boundary value problem of impulsive differential equations

Thumbnail Image

Files

2012_abstr.appliedanalysis_sun_variational.pdf (1.89 MB)
Identifiers
URI: http://hdl.handle.net/10347/21488
ISSN: 1085-3375
E-ISSN: 1687-0409
DOI: 10.1155/2012/707163

Publication date

2012

Authors

Advisors

Tutors

Editors

Journal Title

Journal ISSN

Volume Title

Publisher

Hindawi
Metrics
Google Scholar
lacobus
Export

Research Projects

Organizational Units

Journal Issue

Abstract

This paper is concerned with the existence of solutions for Sturm-Liouville boundary value problem of a class of second-order impulsive differential equations, under different assumptions on the nonlinearity and impulsive functions, existence criteria of single and multiple solutions are established. The main tools are variational method and critical point theorems. Some examples are also given to illustrate the main results.

Description

Keywords

Bibliographic citation

Sun, H., Li, Y., Nieto, J. and Tang, Q., 2012. Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations. Abstract and Applied Analysis, 2012, pp.1-19

Relation

Has part

Has version

Is based on

Is part of

Is referenced by

Is version of

Requires

Sponsors

The research of H. R. Sun was supported by NSF of China (10801065), FRFCU (lzujbky-2011-43, lzujbky-2012-k25) and SRF for ROCS, and SEM. The research of J. J. Nieto was partially supported by Ministerio de Ciencia e lnnovación and FEDER, Project MTM2010-15314.

Rights

Copyright © 2012 Hong-Rui Sun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Collections

Estatística, Análise Matemática e Optimización