Oscillation results for nonlinear second order difference equations with mixed neutral terms

Oscillation results for nonlinear second order difference equations with mixed neutral terms

Abstract In this paper, we establish new oscillation criteria for nonlinear second order difference equations with mixed neutral terms. The key idea of our approach is to compare with first order equations whose oscillatory behaviors are already known. The obtained results not only improve and exten...

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Main Authors: Said R. Grace, Jehad Alzabut
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Advances in Difference Equations
Subjects:
Oscillation criteria
Comparison techniques
Nonlinear second order difference equations
Mixed neutral terms
Online Access:https://doi.org/10.1186/s13662-019-2472-y
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spelling doaj-5fd1548618154e6e80d9796b78f5cbc22021-01-03T12:17:32ZengSpringerOpenAdvances in Difference Equations1687-18472020-01-012020111210.1186/s13662-019-2472-yOscillation results for nonlinear second order difference equations with mixed neutral termsSaid R. Grace0Jehad Alzabut1Department of Engineering Mathematics, Faculty of Engineering, Cairo UniversityDepartment of Mathematics and General Sciences, Prince Sultan UniversityAbstract In this paper, we establish new oscillation criteria for nonlinear second order difference equations with mixed neutral terms. The key idea of our approach is to compare with first order equations whose oscillatory behaviors are already known. The obtained results not only improve and extend existing results reported in the literature but also provide a new platform for the investigation of a wide class of nonlinear second order difference equations. The results are supported by examples to demonstrate the validity of the theoretical findings.https://doi.org/10.1186/s13662-019-2472-yOscillation criteriaComparison techniquesNonlinear second order difference equationsMixed neutral terms
collection DOAJ
language English
format Article
sources DOAJ
author Said R. Grace
Jehad Alzabut
spellingShingle Said R. Grace
Jehad Alzabut
Oscillation results for nonlinear second order difference equations with mixed neutral terms
Advances in Difference Equations
Oscillation criteria
Comparison techniques
Nonlinear second order difference equations
Mixed neutral terms
author_facet Said R. Grace
Jehad Alzabut
author_sort Said R. Grace
title Oscillation results for nonlinear second order difference equations with mixed neutral terms
title_short Oscillation results for nonlinear second order difference equations with mixed neutral terms
title_full Oscillation results for nonlinear second order difference equations with mixed neutral terms
title_fullStr Oscillation results for nonlinear second order difference equations with mixed neutral terms
title_full_unstemmed Oscillation results for nonlinear second order difference equations with mixed neutral terms
title_sort oscillation results for nonlinear second order difference equations with mixed neutral terms
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2020-01-01
description Abstract In this paper, we establish new oscillation criteria for nonlinear second order difference equations with mixed neutral terms. The key idea of our approach is to compare with first order equations whose oscillatory behaviors are already known. The obtained results not only improve and extend existing results reported in the literature but also provide a new platform for the investigation of a wide class of nonlinear second order difference equations. The results are supported by examples to demonstrate the validity of the theoretical findings.
topic Oscillation criteria
Comparison techniques
Nonlinear second order difference equations
Mixed neutral terms
url https://doi.org/10.1186/s13662-019-2472-y
work_keys_str_mv AT saidrgrace oscillationresultsfornonlinearsecondorderdifferenceequationswithmixedneutralterms
AT jehadalzabut oscillationresultsfornonlinearsecondorderdifferenceequationswithmixedneutralterms
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