Asymptotic stability in totally nonlinear neutral difference equations

In this paper we use fixed point method to prove asymptotic stability results of the zero solution of the totally nonlinear neutral difference equation with variable delay ∆ x (n) = -a (n) f (x (n - τ (n))) + ∆g (n, x (n - τ (n))). An asymptotic stability theore...

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Autores principales:	Ardjouni,Abdelouaheb, Djoudi,Ahcene
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2015
Materias:	Fixed point Stability Neutral difference equations
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000300005
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spelling	oai:scielo:S0716-091720150003000052015-09-23Asymptotic stability in totally nonlinear neutral difference equationsArdjouni,AbdelouahebDjoudi,Ahcene Fixed point Stability Neutral difference equations In this paper we use fixed point method to prove asymptotic stability results of the zero solution of the totally nonlinear neutral difference equation with variable delay ∆ x (n) = -a (n) f (x (n - τ (n))) + ∆g (n, x (n - τ (n))). An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Raffoul (2006) [23], Yankson (2009) [27], Jin and Luo (2009) [17] and Chen (2013) [9].info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.34 n.3 20152015-09-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000300005en10.4067/S0716-09172015000300005
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Fixed point Stability Neutral difference equations
spellingShingle	Fixed point Stability Neutral difference equations Ardjouni,Abdelouaheb Djoudi,Ahcene Asymptotic stability in totally nonlinear neutral difference equations
description	In this paper we use fixed point method to prove asymptotic stability results of the zero solution of the totally nonlinear neutral difference equation with variable delay ∆ x (n) = -a (n) f (x (n - τ (n))) + ∆g (n, x (n - τ (n))). An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Raffoul (2006) [23], Yankson (2009) [27], Jin and Luo (2009) [17] and Chen (2013) [9].
author	Ardjouni,Abdelouaheb Djoudi,Ahcene
author_facet	Ardjouni,Abdelouaheb Djoudi,Ahcene
author_sort	Ardjouni,Abdelouaheb
title	Asymptotic stability in totally nonlinear neutral difference equations
title_short	Asymptotic stability in totally nonlinear neutral difference equations
title_full	Asymptotic stability in totally nonlinear neutral difference equations
title_fullStr	Asymptotic stability in totally nonlinear neutral difference equations
title_full_unstemmed	Asymptotic stability in totally nonlinear neutral difference equations
title_sort	asymptotic stability in totally nonlinear neutral difference equations
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2015
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000300005
work_keys_str_mv	AT ardjouniabdelouaheb asymptoticstabilityintotallynonlinearneutraldifferenceequations AT djoudiahcene asymptoticstabilityintotallynonlinearneutraldifferenceequations
_version_	1718439807090163712

Asymptotic stability in totally nonlinear neutral difference equations

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