Asymptotic behavior of linear advanced dynamic equations on time scales

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 -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.

Saved in:
Bibliographic Details
Main Authors: Belaid,Malik, Ardjouni,Abdelouaheb, Djoudi,Ahcene
Format: Digital revista
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2019
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100097
Tags: Add Tag
No Tags, Be the first to tag this record!
id oai:scielo:S0716-09172019000100097
record_format ojs
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
collection OJS
country Chile
countrycode CL
component Revista
access En linea
databasecode rev-scielo-cl
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author Belaid,Malik
Ardjouni,Abdelouaheb
Djoudi,Ahcene
spellingShingle Belaid,Malik
Ardjouni,Abdelouaheb
Djoudi,Ahcene
Asymptotic behavior of linear advanced dynamic equations on time scales
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
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.
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
_version_ 1755990072625201152

Similar Items