Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type

Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type

Abstract We investigate oscillatory behavior of solutions to a class of second-order nonlinear neutral delay dynamic equations with nonpositive neutral coefficients. In particular, we study the corresponding noncanonical neutral differential equations. New oscillation criteria are established that c...

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Main Authors: Ming Zhang, Wei Chen, MMA El-Sheikh, RA Sallam, AM Hassan, Tongxing Li
Format: Article
Language:English
Published: SpringerOpen 2018-01-01
Series:Advances in Difference Equations
Subjects:
oscillation
second-order
delay dynamic equation
neutral dynamic equation
Online Access:http://link.springer.com/article/10.1186/s13662-018-1474-5
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spelling doaj-059e80a1dcab41faba913cf7b7e8905e2020-11-25T00:29:43ZengSpringerOpenAdvances in Difference Equations1687-18472018-01-01201811910.1186/s13662-018-1474-5Oscillation criteria for second-order nonlinear delay dynamic equations of neutral typeMing Zhang0Wei Chen1MMA El-Sheikh2RA Sallam3AM Hassan4Tongxing Li5School of Information Engineering, Wuhan University of TechnologySchool of Information Engineering, Wuhan University of TechnologyDepartment of Mathematics, Faculty of Science, Menoufia UniversityDepartment of Mathematics, Faculty of Science, Menoufia UniversityDepartment of Mathematics, Faculty of Science, Benha UniversitySchool of Information Science and Engineering, Linyi UniversityAbstract We investigate oscillatory behavior of solutions to a class of second-order nonlinear neutral delay dynamic equations with nonpositive neutral coefficients. In particular, we study the corresponding noncanonical neutral differential equations. New oscillation criteria are established that complement and improve related contributions to the subject. An example is given to illustrate the main results.http://link.springer.com/article/10.1186/s13662-018-1474-5oscillationsecond-orderdelay dynamic equationneutral dynamic equation
collection DOAJ
language English
format Article
sources DOAJ
author Ming Zhang
Wei Chen
MMA El-Sheikh
RA Sallam
AM Hassan
Tongxing Li
spellingShingle Ming Zhang
Wei Chen
MMA El-Sheikh
RA Sallam
AM Hassan
Tongxing Li
Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type
Advances in Difference Equations
oscillation
second-order
delay dynamic equation
neutral dynamic equation
author_facet Ming Zhang
Wei Chen
MMA El-Sheikh
RA Sallam
AM Hassan
Tongxing Li
author_sort Ming Zhang
title Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type
title_short Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type
title_full Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type
title_fullStr Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type
title_full_unstemmed Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type
title_sort oscillation criteria for second-order nonlinear delay dynamic equations of neutral type
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2018-01-01
description Abstract We investigate oscillatory behavior of solutions to a class of second-order nonlinear neutral delay dynamic equations with nonpositive neutral coefficients. In particular, we study the corresponding noncanonical neutral differential equations. New oscillation criteria are established that complement and improve related contributions to the subject. An example is given to illustrate the main results.
topic oscillation
second-order
delay dynamic equation
neutral dynamic equation
url http://link.springer.com/article/10.1186/s13662-018-1474-5
work_keys_str_mv AT mingzhang oscillationcriteriaforsecondordernonlineardelaydynamicequationsofneutraltype
AT weichen oscillationcriteriaforsecondordernonlineardelaydynamicequationsofneutraltype
AT mmaelsheikh oscillationcriteriaforsecondordernonlineardelaydynamicequationsofneutraltype
AT rasallam oscillationcriteriaforsecondordernonlineardelaydynamicequationsofneutraltype
AT amhassan oscillationcriteriaforsecondordernonlineardelaydynamicequationsofneutraltype
AT tongxingli oscillationcriteriaforsecondordernonlineardelaydynamicequationsofneutraltype
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