New Oscillation Results For Third-Order Half-Linear Neutral Differential Equations

New Oscillation Results For Third-Order Half-Linear Neutral Differential Equations

The main purpose of this paper is to obtain criteria for the oscillation of all solutions of a third-order half-linear neutral differential equation. The main result in this paper is an oscillation theorem obtained by comparing the equation under investigation to two first order linear delay differe...

Full description

Bibliographic Details
Main Authors: K. S. Vidhyaa, John R. Graef, E. Thandapani
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Mathematics
Subjects:
third-order
neutral
oscillation
delay differential equation
Online Access:https://www.mdpi.com/2227-7390/8/3/325
id doaj-6d3e3a8b30884de48b2350da69c2e3b6
record_format Article
spelling doaj-6d3e3a8b30884de48b2350da69c2e3b62020-11-25T02:23:47ZengMDPI AGMathematics2227-73902020-03-018332510.3390/math8030325math8030325New Oscillation Results For Third-Order Half-Linear Neutral Differential EquationsK. S. Vidhyaa0John R. Graef1E. Thandapani2Department of Mathematics, SRM Easwari Engineering College, Ramapuram, Chennai, Tamil Nadu 600 089, IndiaDepartment of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403-2598, USARamanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai, Tamil Nadu 600 005, IndiaThe main purpose of this paper is to obtain criteria for the oscillation of all solutions of a third-order half-linear neutral differential equation. The main result in this paper is an oscillation theorem obtained by comparing the equation under investigation to two first order linear delay differential equations. An additional result is obtained by using a Riccati transformation technique. Examples are provided to show the importance of the main results.https://www.mdpi.com/2227-7390/8/3/325third-orderneutraloscillationdelay differential equation
collection DOAJ
language English
format Article
sources DOAJ
author K. S. Vidhyaa
John R. Graef
E. Thandapani
spellingShingle K. S. Vidhyaa
John R. Graef
E. Thandapani
New Oscillation Results For Third-Order Half-Linear Neutral Differential Equations
Mathematics
third-order
neutral
oscillation
delay differential equation
author_facet K. S. Vidhyaa
John R. Graef
E. Thandapani
author_sort K. S. Vidhyaa
title New Oscillation Results For Third-Order Half-Linear Neutral Differential Equations
title_short New Oscillation Results For Third-Order Half-Linear Neutral Differential Equations
title_full New Oscillation Results For Third-Order Half-Linear Neutral Differential Equations
title_fullStr New Oscillation Results For Third-Order Half-Linear Neutral Differential Equations
title_full_unstemmed New Oscillation Results For Third-Order Half-Linear Neutral Differential Equations
title_sort new oscillation results for third-order half-linear neutral differential equations
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-03-01
description The main purpose of this paper is to obtain criteria for the oscillation of all solutions of a third-order half-linear neutral differential equation. The main result in this paper is an oscillation theorem obtained by comparing the equation under investigation to two first order linear delay differential equations. An additional result is obtained by using a Riccati transformation technique. Examples are provided to show the importance of the main results.
topic third-order
neutral
oscillation
delay differential equation
url https://www.mdpi.com/2227-7390/8/3/325
work_keys_str_mv AT ksvidhyaa newoscillationresultsforthirdorderhalflinearneutraldifferentialequations
AT johnrgraef newoscillationresultsforthirdorderhalflinearneutraldifferentialequations
AT ethandapani newoscillationresultsforthirdorderhalflinearneutraldifferentialequations
_version_ 1724857301033025536

Similar Items