Oscillation for second-order differential equations with delay

We establishing monotonic properties of non-oscillatory solutions, and oscillation criteria for the second-order delay differential equation $$ y''(t)+p(t)y(\tau(t))=0. $$ The criteria obtained fulfil the gap in the oscillation theory and essentially improves the earlier ones. The pr...

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Bibliographic Details
Main Author:	Blanka Baculikova
Format:	Article
Language:	English
Published:	Texas State University 2018-04-01
Series:	Electronic Journal of Differential Equations
Subjects:	Second order differential equation delay argument oscillation monotonic properties
Online Access:	http://ejde.math.txstate.edu/Volumes/2018/96/abstr.html

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spelling	doaj-4d26d20e22c04b5a8e4dedce5b096b842020-11-24T22:35:24ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912018-04-01201896,19Oscillation for second-order differential equations with delayBlanka Baculikova0 Technical Univ. of Kosice, Slovakia We establishing monotonic properties of non-oscillatory solutions, and oscillation criteria for the second-order delay differential equation $$ y''(t)+p(t)y(\tau(t))=0. $$ The criteria obtained fulfil the gap in the oscillation theory and essentially improves the earlier ones. The progress is illustrated via Euler's differential equation. Moreover, we provide upper and lower bounds for the non-oscillatory solutions.http://ejde.math.txstate.edu/Volumes/2018/96/abstr.htmlSecond order differential equationdelay argumentoscillationmonotonic properties
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Blanka Baculikova
spellingShingle	Blanka Baculikova Oscillation for second-order differential equations with delay Electronic Journal of Differential Equations Second order differential equation delay argument oscillation monotonic properties
author_facet	Blanka Baculikova
author_sort	Blanka Baculikova
title	Oscillation for second-order differential equations with delay
title_short	Oscillation for second-order differential equations with delay
title_full	Oscillation for second-order differential equations with delay
title_fullStr	Oscillation for second-order differential equations with delay
title_full_unstemmed	Oscillation for second-order differential equations with delay
title_sort	oscillation for second-order differential equations with delay
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2018-04-01
description	We establishing monotonic properties of non-oscillatory solutions, and oscillation criteria for the second-order delay differential equation $$ y''(t)+p(t)y(\tau(t))=0. $$ The criteria obtained fulfil the gap in the oscillation theory and essentially improves the earlier ones. The progress is illustrated via Euler's differential equation. Moreover, we provide upper and lower bounds for the non-oscillatory solutions.
topic	Second order differential equation delay argument oscillation monotonic properties
url	http://ejde.math.txstate.edu/Volumes/2018/96/abstr.html
work_keys_str_mv	AT blankabaculikova oscillationforsecondorderdifferentialequationswithdelay
_version_	1725723455110774784

Oscillation for second-order differential equations with delay

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