New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag

Abstract: In the present work, we pay attention to a number of nonlinear Volterra integro-differential equations (VIDEs) with constant time-lag. We define three new Lyapunov functionals (LFs) and employ them to get specific conditions guaranteeing the uniform exponential asymptotic stability (UEAS)...

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Autores principales:	Tunç,Cemil, Mohammed,Sizar Abid
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2017
Materias:	Non-linear (VIDE) first order delay (UEAS);(LF)
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400615
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spelling	oai:scielo:S0716-091720170004006152018-01-08New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lagTunç,CemilMohammed,Sizar Abid Non-linear (VIDE) first order delay (UEAS);(LF) Abstract: In the present work, we pay attention to a number of nonlinear Volterra integro-differential equations (VIDEs) with constant time-lag. We define three new Lyapunov functionals (LFs) and employ them to get specific conditions guaranteeing the uniform exponential asymptotic stability (UEAS) of the trivial solutions of the (VIDEs) considered. The results obtained generalize, compliment and improve the existing results in the literature from the cases of the without delay to the more general cases with time-lag.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.36 n.4 20172017-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400615en10.4067/S0716-09172017000400615
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Non-linear (VIDE) first order delay (UEAS);(LF)
spellingShingle	Non-linear (VIDE) first order delay (UEAS);(LF) Tunç,Cemil Mohammed,Sizar Abid New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag
description	Abstract: In the present work, we pay attention to a number of nonlinear Volterra integro-differential equations (VIDEs) with constant time-lag. We define three new Lyapunov functionals (LFs) and employ them to get specific conditions guaranteeing the uniform exponential asymptotic stability (UEAS) of the trivial solutions of the (VIDEs) considered. The results obtained generalize, compliment and improve the existing results in the literature from the cases of the without delay to the more general cases with time-lag.
author	Tunç,Cemil Mohammed,Sizar Abid
author_facet	Tunç,Cemil Mohammed,Sizar Abid
author_sort	Tunç,Cemil
title	New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag
title_short	New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag
title_full	New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag
title_fullStr	New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag
title_full_unstemmed	New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag
title_sort	new results on exponential stability of nonlinear volterra integro-differential equations with constant time-lag
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2017
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400615
work_keys_str_mv	AT tunccemil newresultsonexponentialstabilityofnonlinearvolterraintegrodifferentialequationswithconstanttimelag AT mohammedsizarabid newresultsonexponentialstabilityofnonlinearvolterraintegrodifferentialequationswithconstanttimelag
_version_	1718439828427636736

New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag

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