Asymptotic behavior of linear advanced dynamic equations on time scales

Abstract Let T be a time scale which is unbounded above and below and such that t0 ∈ T. Let id be such that are time scales. We use the contraction mapping theorem to obtain convergence to zero about the solution for the following linear advanced dynamic equation where is the -d...

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Autores principales:	Belaid,Malik, Ardjouni,Abdelouaheb, Djoudi,Ahcene
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2019
Materias:	Fixed points advanced dynamic equations Asymptotic
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100097
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spelling	oai:scielo:S0716-091720190001000972019-02-08Asymptotic behavior of linear advanced dynamic equations on time scalesBelaid,MalikArdjouni,AbdelouahebDjoudi,Ahcene Fixed points advanced dynamic equations Asymptotic Abstract Let T be a time scale which is unbounded above and below and such that t0 ∈ T. Let id be such that are time scales. We use the contraction mapping theorem to obtain convergence to zero about the solution for the following linear advanced dynamic equation where is the -derivative on T. A convergence theorem with a necessary and sufficient condition is proved. The results obtained here extend the work of Dung (11). In addition, the case of the equation with several terms is studied.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.1 20192019-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100097en10.4067/S0716-09172019000100097
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Fixed points advanced dynamic equations Asymptotic
spellingShingle	Fixed points advanced dynamic equations Asymptotic Belaid,Malik Ardjouni,Abdelouaheb Djoudi,Ahcene Asymptotic behavior of linear advanced dynamic equations on time scales
description	Abstract Let T be a time scale which is unbounded above and below and such that t0 ∈ T. Let id be such that are time scales. We use the contraction mapping theorem to obtain convergence to zero about the solution for the following linear advanced dynamic equation where is the -derivative on T. A convergence theorem with a necessary and sufficient condition is proved. The results obtained here extend the work of Dung (11). In addition, the case of the equation with several terms is studied.
author	Belaid,Malik Ardjouni,Abdelouaheb Djoudi,Ahcene
author_facet	Belaid,Malik Ardjouni,Abdelouaheb Djoudi,Ahcene
author_sort	Belaid,Malik
title	Asymptotic behavior of linear advanced dynamic equations on time scales
title_short	Asymptotic behavior of linear advanced dynamic equations on time scales
title_full	Asymptotic behavior of linear advanced dynamic equations on time scales
title_fullStr	Asymptotic behavior of linear advanced dynamic equations on time scales
title_full_unstemmed	Asymptotic behavior of linear advanced dynamic equations on time scales
title_sort	asymptotic behavior of linear advanced dynamic equations on time scales
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2019
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100097
work_keys_str_mv	AT belaidmalik asymptoticbehavioroflinearadvanceddynamicequationsontimescales AT ardjouniabdelouaheb asymptoticbehavioroflinearadvanceddynamicequationsontimescales AT djoudiahcene asymptoticbehavioroflinearadvanceddynamicequationsontimescales
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Asymptotic behavior of linear advanced dynamic equations on time scales

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