Some New Oscillation Results for Fourth-Order Neutral Differential Equations with a Canonical Operator

Some New Oscillation Results for Fourth-Order Neutral Differential Equations with a Canonical Operator

By this work, our aim is to study oscillatory behaviour of solutions to 4th-order differential equation of neutral type Ly′+∑j=1kqjyzβgjy=0 where Ly=ξyw‴yα,wy:=zy+ryzg˜y. By using the comparison method with first-order differential inequality, we find new oscillation conditions for this equation....

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Main Author: Omar Bazighifan
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/8825413
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spelling doaj-2654b6af3eda4ecdaaf24bd089ebb6b52020-11-25T03:10:19ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/88254138825413Some New Oscillation Results for Fourth-Order Neutral Differential Equations with a Canonical OperatorOmar Bazighifan0Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, YemenBy this work, our aim is to study oscillatory behaviour of solutions to 4th-order differential equation of neutral type Ly′+∑j=1kqjyzβgjy=0 where Ly=ξyw‴yα,wy:=zy+ryzg˜y. By using the comparison method with first-order differential inequality, we find new oscillation conditions for this equation.http://dx.doi.org/10.1155/2020/8825413
collection DOAJ
language English
format Article
sources DOAJ
author Omar Bazighifan
spellingShingle Omar Bazighifan
Some New Oscillation Results for Fourth-Order Neutral Differential Equations with a Canonical Operator
Mathematical Problems in Engineering
author_facet Omar Bazighifan
author_sort Omar Bazighifan
title Some New Oscillation Results for Fourth-Order Neutral Differential Equations with a Canonical Operator
title_short Some New Oscillation Results for Fourth-Order Neutral Differential Equations with a Canonical Operator
title_full Some New Oscillation Results for Fourth-Order Neutral Differential Equations with a Canonical Operator
title_fullStr Some New Oscillation Results for Fourth-Order Neutral Differential Equations with a Canonical Operator
title_full_unstemmed Some New Oscillation Results for Fourth-Order Neutral Differential Equations with a Canonical Operator
title_sort some new oscillation results for fourth-order neutral differential equations with a canonical operator
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description By this work, our aim is to study oscillatory behaviour of solutions to 4th-order differential equation of neutral type Ly′+∑j=1kqjyzβgjy=0 where Ly=ξyw‴yα,wy:=zy+ryzg˜y. By using the comparison method with first-order differential inequality, we find new oscillation conditions for this equation.
url http://dx.doi.org/10.1155/2020/8825413
work_keys_str_mv AT omarbazighifan somenewoscillationresultsforfourthorderneutraldifferentialequationswithacanonicaloperator
_version_ 1715287776082001920

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