On the uniform asymptotic stability to certain first order neutral differential equations

In this paper, the uniform asymptotic stability of the zero solution of a kind of neutral differential equations is discussed. Based on the Lyapunov functional approach, a new stability criterion is derived, which is delay dependent on two positive constants. The result to be obtained here extends a...

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Autor principal:	Tunc,Cemil
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2014
Materias:	Neutral differential equation first order uniform asymptotic stability Lyapunov functional
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000200006
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spelling	oai:scielo:S0719-064620140002000062018-10-08On the uniform asymptotic stability to certain first order neutral differential equationsTunc,Cemil Neutral differential equation first order uniform asymptotic stability Lyapunov functional In this paper, the uniform asymptotic stability of the zero solution of a kind of neutral differential equations is discussed. Based on the Lyapunov functional approach, a new stability criterion is derived, which is delay dependent on two positive constants. The result to be obtained here extends and generalizes the existing ones in the literature.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.16 n.2 20142014-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000200006en10.4067/S0719-06462014000200006
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Neutral differential equation first order uniform asymptotic stability Lyapunov functional
spellingShingle	Neutral differential equation first order uniform asymptotic stability Lyapunov functional Tunc,Cemil On the uniform asymptotic stability to certain first order neutral differential equations
description	In this paper, the uniform asymptotic stability of the zero solution of a kind of neutral differential equations is discussed. Based on the Lyapunov functional approach, a new stability criterion is derived, which is delay dependent on two positive constants. The result to be obtained here extends and generalizes the existing ones in the literature.
author	Tunc,Cemil
author_facet	Tunc,Cemil
author_sort	Tunc,Cemil
title	On the uniform asymptotic stability to certain first order neutral differential equations
title_short	On the uniform asymptotic stability to certain first order neutral differential equations
title_full	On the uniform asymptotic stability to certain first order neutral differential equations
title_fullStr	On the uniform asymptotic stability to certain first order neutral differential equations
title_full_unstemmed	On the uniform asymptotic stability to certain first order neutral differential equations
title_sort	on the uniform asymptotic stability to certain first order neutral differential equations
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2014
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000200006
work_keys_str_mv	AT tunccemil ontheuniformasymptoticstabilitytocertainfirstorderneutraldifferentialequations
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On the uniform asymptotic stability to certain first order neutral differential equations

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