Periodic boundary value problems for impulsive neutral differential equations with multi-deviation arguments

Detalhes bibliográficos
Autor(a) principal: Ye,Guobing
Data de Publicação: 2010
Outros Autores: Shen,Jianhua, Li,Jianli
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000300011
Resumo: We develop the impulsive inequality and the classical lower and upper solutions, and establish the comparison principles. By using these results and the monotone iterative technique, we obtain the existence of solutions of periodic boundary value problems for a class of impulsive neutral differential equations with multi-deviation arguments. An example is given to demonstrate our main results. Mathematical subject classification: Primary: 34A37; Secondary: 34k10.
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spelling Periodic boundary value problems for impulsive neutral differential equations with multi-deviation argumentsImpulsive neutral differential equationperiodic boundary valueimpulsive inequalitylower and upper solutionsmonotone iterative techniqueextremal solutionWe develop the impulsive inequality and the classical lower and upper solutions, and establish the comparison principles. By using these results and the monotone iterative technique, we obtain the existence of solutions of periodic boundary value problems for a class of impulsive neutral differential equations with multi-deviation arguments. An example is given to demonstrate our main results. Mathematical subject classification: Primary: 34A37; Secondary: 34k10.Sociedade Brasileira de Matemática Aplicada e Computacional2010-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000300011Computational & Applied Mathematics v.29 n.3 2010reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S1807-03022010000300011info:eu-repo/semantics/openAccessYe,GuobingShen,JianhuaLi,Jianlieng2010-11-22T00:00:00Zoai:scielo:S1807-03022010000300011Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2010-11-22T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv Periodic boundary value problems for impulsive neutral differential equations with multi-deviation arguments
title Periodic boundary value problems for impulsive neutral differential equations with multi-deviation arguments
spellingShingle Periodic boundary value problems for impulsive neutral differential equations with multi-deviation arguments
Ye,Guobing
Impulsive neutral differential equation
periodic boundary value
impulsive inequality
lower and upper solutions
monotone iterative technique
extremal solution
title_short Periodic boundary value problems for impulsive neutral differential equations with multi-deviation arguments
title_full Periodic boundary value problems for impulsive neutral differential equations with multi-deviation arguments
title_fullStr Periodic boundary value problems for impulsive neutral differential equations with multi-deviation arguments
title_full_unstemmed Periodic boundary value problems for impulsive neutral differential equations with multi-deviation arguments
title_sort Periodic boundary value problems for impulsive neutral differential equations with multi-deviation arguments
author Ye,Guobing
author_facet Ye,Guobing
Shen,Jianhua
Li,Jianli
author_role author
author2 Shen,Jianhua
Li,Jianli
author2_role author
author
dc.contributor.author.fl_str_mv Ye,Guobing
Shen,Jianhua
Li,Jianli
dc.subject.por.fl_str_mv Impulsive neutral differential equation
periodic boundary value
impulsive inequality
lower and upper solutions
monotone iterative technique
extremal solution
topic Impulsive neutral differential equation
periodic boundary value
impulsive inequality
lower and upper solutions
monotone iterative technique
extremal solution
description We develop the impulsive inequality and the classical lower and upper solutions, and establish the comparison principles. By using these results and the monotone iterative technique, we obtain the existence of solutions of periodic boundary value problems for a class of impulsive neutral differential equations with multi-deviation arguments. An example is given to demonstrate our main results. Mathematical subject classification: Primary: 34A37; Secondary: 34k10.
publishDate 2010
dc.date.none.fl_str_mv 2010-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1807-03022010000300011
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.29 n.3 2010
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
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collection Computational & Applied Mathematics
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repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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