Study of global asymptotic stability in nonlinear neutral dynamic equations on time scales

Abstract This paper is mainly concerned the global asymptotic stability of the zero solution of a class of nonlinear neutral dynamic equations in C1 rd. By converting the nonlinear neutral dynamic equation into an equivalent integral equation, our main results are obtained via the Banach contraction...

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Autores principales: Ardjouni,Abdelouaheb, Djoudi,Ahcene
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2018
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000300049
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spelling oai:scielo:S0719-064620180003000492019-03-08Study of global asymptotic stability in nonlinear neutral dynamic equations on time scalesArdjouni,AbdelouahebDjoudi,Ahcene Fixed points neutral dynamic equations asymptotic stability time scales Abstract This paper is mainly concerned the global asymptotic stability of the zero solution of a class of nonlinear neutral dynamic equations in C1 rd. By converting the nonlinear neutral dynamic equation into an equivalent integral equation, our main results are obtained via the Banach contraction mapping principle. The results obtained here extend the work of Yazgan, Tunc and Atan [17].info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.20 n.3 20182018-10-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000300049en10.4067/S0719-06462018000300049
institution Scielo Chile
collection Scielo Chile
language English
topic Fixed points
neutral dynamic equations
asymptotic stability
time scales
spellingShingle Fixed points
neutral dynamic equations
asymptotic stability
time scales
Ardjouni,Abdelouaheb
Djoudi,Ahcene
Study of global asymptotic stability in nonlinear neutral dynamic equations on time scales
description Abstract This paper is mainly concerned the global asymptotic stability of the zero solution of a class of nonlinear neutral dynamic equations in C1 rd. By converting the nonlinear neutral dynamic equation into an equivalent integral equation, our main results are obtained via the Banach contraction mapping principle. The results obtained here extend the work of Yazgan, Tunc and Atan [17].
author Ardjouni,Abdelouaheb
Djoudi,Ahcene
author_facet Ardjouni,Abdelouaheb
Djoudi,Ahcene
author_sort Ardjouni,Abdelouaheb
title Study of global asymptotic stability in nonlinear neutral dynamic equations on time scales
title_short Study of global asymptotic stability in nonlinear neutral dynamic equations on time scales
title_full Study of global asymptotic stability in nonlinear neutral dynamic equations on time scales
title_fullStr Study of global asymptotic stability in nonlinear neutral dynamic equations on time scales
title_full_unstemmed Study of global asymptotic stability in nonlinear neutral dynamic equations on time scales
title_sort study of global asymptotic stability in nonlinear neutral dynamic equations on time scales
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2018
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000300049
work_keys_str_mv AT ardjouniabdelouaheb studyofglobalasymptoticstabilityinnonlinearneutraldynamicequationsontimescales
AT djoudiahcene studyofglobalasymptoticstabilityinnonlinearneutraldynamicequationsontimescales
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