Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii’s fixed point theorem

Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii’s fixed point theorem

Abstract The nonlinear neutral functional differential equation with variable delay =p(t)-a(t)u(t)-a(t)q(t)g(u(t-r(t)))-b(t)f(u(t))+b(t)q(t)f(u(t-r(t))). is investigated. By using Krasnoselskii’s fixed point theorem we obtain the existence and the asymptotic stability of periodic soluti...

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Auteurs principaux: Mansouri,Bouzid, Ardjouni,Abdelouaheb, Djoudi,Ahcene
Langue:English
Publié: Universidad de La Frontera. Departamento de Matemática y Estadística. 2017
Sujets:
Fixed point
periodic solutions
stability
neutral differential equations
Accès en ligne:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000300015
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spelling oai:scielo:S0719-064620170003000152018-06-25Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii’s fixed point theoremMansouri,BouzidArdjouni,AbdelouahebDjoudi,Ahcene Fixed point periodic solutions stability neutral differential equations Abstract The nonlinear neutral functional differential equation with variable delay =p(t)-a(t)u(t)-a(t)q(t)g(u(t-r(t)))-b(t)f(u(t))+b(t)q(t)f(u(t-r(t))). is investigated. By using Krasnoselskii’s fixed point theorem we obtain the existence and the asymptotic stability of periodic solutions. Sufficient conditions are established for the existence and the stability of the above equation. Our results extend some results obtained in the work (19).info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.19 n.3 20172017-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000300015en10.4067/S0719-06462017000300015
institution Scielo Chile
collection Scielo Chile
language English
topic Fixed point
periodic solutions
stability
neutral differential equations
spellingShingle Fixed point
periodic solutions
stability
neutral differential equations
Mansouri,Bouzid
Ardjouni,Abdelouaheb
Djoudi,Ahcene
Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii’s fixed point theorem
description Abstract The nonlinear neutral functional differential equation with variable delay =p(t)-a(t)u(t)-a(t)q(t)g(u(t-r(t)))-b(t)f(u(t))+b(t)q(t)f(u(t-r(t))). is investigated. By using Krasnoselskii’s fixed point theorem we obtain the existence and the asymptotic stability of periodic solutions. Sufficient conditions are established for the existence and the stability of the above equation. Our results extend some results obtained in the work (19).
author Mansouri,Bouzid
Ardjouni,Abdelouaheb
Djoudi,Ahcene
author_facet Mansouri,Bouzid
Ardjouni,Abdelouaheb
Djoudi,Ahcene
author_sort Mansouri,Bouzid
title Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii’s fixed point theorem
title_short Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii’s fixed point theorem
title_full Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii’s fixed point theorem
title_fullStr Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii’s fixed point theorem
title_full_unstemmed Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii’s fixed point theorem
title_sort periodicity and stability in neutral nonlinear differential equations by krasnoselskii’s fixed point theorem
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2017
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000300015
work_keys_str_mv AT mansouribouzid periodicityandstabilityinneutralnonlineardifferentialequationsbykrasnoselskii8217sfixedpointtheorem
AT ardjouniabdelouaheb periodicityandstabilityinneutralnonlineardifferentialequationsbykrasnoselskii8217sfixedpointtheorem
AT djoudiahcene periodicityandstabilityinneutralnonlineardifferentialequationsbykrasnoselskii8217sfixedpointtheorem
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