Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay

In this article we study the existence of positive periodic solutions for two types of second-order nonlinear neutral differential equation with variable delay. The main tool employed here is the Krasnosel-skii's fixedpoint theoremdealing withasum of twomappings, one is a contraction and the ot...

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Autores principales: Ardjouni,Abdelouaheb, Djoudi,Ahcene
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2013
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000400006
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spelling oai:scielo:S0716-091720130004000062014-09-09Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delayArdjouni,AbdelouahebDjoudi,Ahcene Positive periodic solutions nonlinear neutral differential equations fixed point theorem In this article we study the existence of positive periodic solutions for two types of second-order nonlinear neutral differential equation with variable delay. The main tool employed here is the Krasnosel-skii's fixedpoint theoremdealing withasum of twomappings, one is a contraction and the other is completely continuous. The results obtained here generalize the work of Cheung, Ren and Han [7.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.32 n.4 20132013-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000400006en10.4067/S0716-09172013000400006
institution Scielo Chile
collection Scielo Chile
language English
topic Positive periodic solutions
nonlinear neutral differential equations
fixed point theorem
spellingShingle Positive periodic solutions
nonlinear neutral differential equations
fixed point theorem
Ardjouni,Abdelouaheb
Djoudi,Ahcene
Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay
description In this article we study the existence of positive periodic solutions for two types of second-order nonlinear neutral differential equation with variable delay. The main tool employed here is the Krasnosel-skii's fixedpoint theoremdealing withasum of twomappings, one is a contraction and the other is completely continuous. The results obtained here generalize the work of Cheung, Ren and Han [7.
author Ardjouni,Abdelouaheb
Djoudi,Ahcene
author_facet Ardjouni,Abdelouaheb
Djoudi,Ahcene
author_sort Ardjouni,Abdelouaheb
title Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay
title_short Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay
title_full Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay
title_fullStr Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay
title_full_unstemmed Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay
title_sort existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2013
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000400006
work_keys_str_mv AT ardjouniabdelouaheb existenceofpositiveperiodicsolutionsfortwotypesofsecondordernonlinearneutraldifferentialequationswithvariabledelay
AT djoudiahcene existenceofpositiveperiodicsolutionsfortwotypesofsecondordernonlinearneutraldifferentialequationswithvariabledelay
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