Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation

Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation

Show other versions (1)

In this paper, the following third-order nonlinear delay differential equation with periodic coefficients<br /><br /> x′′′(t)+p(t)x′′(t)+q(t)x′(t)+r(t)x(t)=f(t,x(t),x(t-τ(t)))+c(t)x′(t-τ(t)),<br /><br />is considered. By employing Green's function and Krasnoselskii'...

Full description

Bibliographic Details
Main Authors: Farid Nouioua, Abdelouaheb Ardjouni, Abdelkerim Merzougui, Ahcene Djoudi
Format: Article
Language:English
Published: Etamaths Publishing 2017-03-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/882
id doaj-f258cc980c724e8fae4986716bf9986a
record_format Article
spelling doaj-f258cc980c724e8fae4986716bf9986a2020-11-25T00:27:13ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392017-03-01132136143223Existence of Positive Periodic Solutions for a Third-Order Delay Differential EquationFarid NouiouaAbdelouaheb ArdjouniAbdelkerim MerzouguiAhcene DjoudiIn this paper, the following third-order nonlinear delay differential equation with periodic coefficients<br /><br /> x′′′(t)+p(t)x′′(t)+q(t)x′(t)+r(t)x(t)=f(t,x(t),x(t-τ(t)))+c(t)x′(t-τ(t)),<br /><br />is considered. By employing Green's function and Krasnoselskii's fixed point theorem, we state and prove the existence of positive periodic solutions to the third-order delay differential equation.<br />http://www.etamaths.com/index.php/ijaa/article/view/882
collection DOAJ
language English
format Article
sources DOAJ
author Farid Nouioua
Abdelouaheb Ardjouni
Abdelkerim Merzougui
Ahcene Djoudi
spellingShingle Farid Nouioua
Abdelouaheb Ardjouni
Abdelkerim Merzougui
Ahcene Djoudi
Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation
International Journal of Analysis and Applications
author_facet Farid Nouioua
Abdelouaheb Ardjouni
Abdelkerim Merzougui
Ahcene Djoudi
author_sort Farid Nouioua
title Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation
title_short Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation
title_full Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation
title_fullStr Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation
title_full_unstemmed Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation
title_sort existence of positive periodic solutions for a third-order delay differential equation
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2017-03-01
description In this paper, the following third-order nonlinear delay differential equation with periodic coefficients<br /><br /> x′′′(t)+p(t)x′′(t)+q(t)x′(t)+r(t)x(t)=f(t,x(t),x(t-τ(t)))+c(t)x′(t-τ(t)),<br /><br />is considered. By employing Green's function and Krasnoselskii's fixed point theorem, we state and prove the existence of positive periodic solutions to the third-order delay differential equation.<br />
url http://www.etamaths.com/index.php/ijaa/article/view/882
work_keys_str_mv AT faridnouioua existenceofpositiveperiodicsolutionsforathirdorderdelaydifferentialequation
AT abdelouahebardjouni existenceofpositiveperiodicsolutionsforathirdorderdelaydifferentialequation
AT abdelkerimmerzougui existenceofpositiveperiodicsolutionsforathirdorderdelaydifferentialequation
AT ahcenedjoudi existenceofpositiveperiodicsolutionsforathirdorderdelaydifferentialequation
_version_ 1725341120092700672

Similar Items