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 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).
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2017
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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 |
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Mansouri,Bouzid Ardjouni,Abdelouaheb Djoudi,Ahcene |
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Mansouri,Bouzid Ardjouni,Abdelouaheb Djoudi,Ahcene Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii’s fixed point theorem |
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Mansouri,Bouzid Ardjouni,Abdelouaheb Djoudi,Ahcene |
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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 |
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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). |
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Universidad de La Frontera. Departamento de Matemática y Estadística. |
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2017 |
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http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000300015 |
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AT mansouribouzid periodicityandstabilityinneutralnonlineardifferentialequationsbykrasnoselskii8217sfixedpointtheorem AT ardjouniabdelouaheb periodicityandstabilityinneutralnonlineardifferentialequationsbykrasnoselskii8217sfixedpointtheorem AT djoudiahcene periodicityandstabilityinneutralnonlineardifferentialequationsbykrasnoselskii8217sfixedpointtheorem |
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1755998671454863360 |