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

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...

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Detalhes bibliográficos
Autores: Sun, Hong-Rui, Li, Ya-Ning, Nieto Roig, Juan José, Tang, Qing
Formato: artículo
Fecha de publicación:2012
País:España
Recursos:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/21488
Acesso em linha:http://hdl.handle.net/10347/21488
Access Level:acceso abierto
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spelling Existence of solutions for sturm-liouville boundary value problem of impulsive differential equationsSun, Hong-RuiLi, Ya-NingNieto Roig, Juan JoséTang, QingThis 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.HindawiUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización20122012-01-0120122012-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10347/21488reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostelainstname:Universidad de Santiago de Compostela (USC)InglésengMinisterio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 Plan Nacional de I+D+i 2008-2011 MTM2010-15314 ECUACIONES DIFERENCIALES FUNCIONALES NO LINEALESopen accesshttp://purl.org/coar/access_right/c_abf2Copyright © 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.https://creativecommons.org/licenses/by/3.0/info:eu-repo/semantics/openAccessoai:minerva.usc.gal:10347/214882026-06-15T12:47:27Z
dc.title.none.fl_str_mv Existence of solutions for sturm-liouville boundary value problem of impulsive differential equations
title Existence of solutions for sturm-liouville boundary value problem of impulsive differential equations
spellingShingle Existence of solutions for sturm-liouville boundary value problem of impulsive differential equations
Sun, Hong-Rui
title_short Existence of solutions for sturm-liouville boundary value problem of impulsive differential equations
title_full Existence of solutions for sturm-liouville boundary value problem of impulsive differential equations
title_fullStr Existence of solutions for sturm-liouville boundary value problem of impulsive differential equations
title_full_unstemmed Existence of solutions for sturm-liouville boundary value problem of impulsive differential equations
title_sort Existence of solutions for sturm-liouville boundary value problem of impulsive differential equations
dc.creator.none.fl_str_mv Sun, Hong-Rui
Li, Ya-Ning
Nieto Roig, Juan José
Tang, Qing
author Sun, Hong-Rui
author_facet Sun, Hong-Rui
Li, Ya-Ning
Nieto Roig, Juan José
Tang, Qing
author_role author
author2 Li, Ya-Ning
Nieto Roig, Juan José
Tang, Qing
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización

description 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.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01
2012
2012-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10347/21488
url http://hdl.handle.net/10347/21488
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 Plan Nacional de I+D+i 2008-2011 MTM2010-15314 ECUACIONES DIFERENCIALES FUNCIONALES NO LINEALES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/3.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
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https://creativecommons.org/licenses/by/3.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Hindawi
publisher.none.fl_str_mv Hindawi
dc.source.none.fl_str_mv reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
instname:Universidad de Santiago de Compostela (USC)
instname_str Universidad de Santiago de Compostela (USC)
reponame_str Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
collection Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
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