Oscillations in deviating difference equations using an iterative technique

The paper deals with the oscillation of the first-order linear difference equation with deviating argument and nonnegative coefficients. New sufficient oscillation conditions, involving limsup, are given, which essentially improve all known results, based on an iterative technique. We illustrate the...

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Detalles Bibliográficos
Autores principales: Chatzarakis, George E, Jadlovská, Irena
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5529606/
https://www.ncbi.nlm.nih.gov/pubmed/28804227
http://dx.doi.org/10.1186/s13660-017-1450-8
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author Chatzarakis, George E
Jadlovská, Irena
author_facet Chatzarakis, George E
Jadlovská, Irena
author_sort Chatzarakis, George E
collection PubMed
description The paper deals with the oscillation of the first-order linear difference equation with deviating argument and nonnegative coefficients. New sufficient oscillation conditions, involving limsup, are given, which essentially improve all known results, based on an iterative technique. We illustrate the results and the improvement over other known oscillation criteria by examples, numerically solved in Matlab.
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spelling pubmed-55296062017-08-10 Oscillations in deviating difference equations using an iterative technique Chatzarakis, George E Jadlovská, Irena J Inequal Appl Research The paper deals with the oscillation of the first-order linear difference equation with deviating argument and nonnegative coefficients. New sufficient oscillation conditions, involving limsup, are given, which essentially improve all known results, based on an iterative technique. We illustrate the results and the improvement over other known oscillation criteria by examples, numerically solved in Matlab. Springer International Publishing 2017-07-26 2017 /pmc/articles/PMC5529606/ /pubmed/28804227 http://dx.doi.org/10.1186/s13660-017-1450-8 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Chatzarakis, George E
Jadlovská, Irena
Oscillations in deviating difference equations using an iterative technique
title Oscillations in deviating difference equations using an iterative technique
title_full Oscillations in deviating difference equations using an iterative technique
title_fullStr Oscillations in deviating difference equations using an iterative technique
title_full_unstemmed Oscillations in deviating difference equations using an iterative technique
title_short Oscillations in deviating difference equations using an iterative technique
title_sort oscillations in deviating difference equations using an iterative technique
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5529606/
https://www.ncbi.nlm.nih.gov/pubmed/28804227
http://dx.doi.org/10.1186/s13660-017-1450-8
work_keys_str_mv AT chatzarakisgeorgee oscillationsindeviatingdifferenceequationsusinganiterativetechnique
AT jadlovskairena oscillationsindeviatingdifferenceequationsusinganiterativetechnique

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