Weighted Second-Order Differential Inequality on Set of Compactly Supported Functions and Its Applications

In the paper, we establish the oscillatory and spectral properties of a class of fourth-order differential operators in dependence on integral behavior of its coefficients at zero and infinity. In order to obtain these results, we investigate a certain weighted second-order differential inequality o...

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Autores principales:	Aigerim Kalybay, Ryskul Oinarov, Yaudat Sultanaev
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	weighted inequality fourth-order differential operator oscillation non-oscillation spectrum discreteness spectrum positive definiteness Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/fccabe3dab5b405392c6741499e97df8
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spelling	oai:doaj.org-article:fccabe3dab5b405392c6741499e97df82021-11-11T18:21:40ZWeighted Second-Order Differential Inequality on Set of Compactly Supported Functions and Its Applications10.3390/math92128302227-7390https://doaj.org/article/fccabe3dab5b405392c6741499e97df82021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2830https://doaj.org/toc/2227-7390In the paper, we establish the oscillatory and spectral properties of a class of fourth-order differential operators in dependence on integral behavior of its coefficients at zero and infinity. In order to obtain these results, we investigate a certain weighted second-order differential inequality of independent interest.Aigerim KalybayRyskul OinarovYaudat SultanaevMDPI AGarticleweighted inequalityfourth-order differential operatoroscillationnon-oscillationspectrum discretenessspectrum positive definitenessMathematicsQA1-939ENMathematics, Vol 9, Iss 2830, p 2830 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	weighted inequality fourth-order differential operator oscillation non-oscillation spectrum discreteness spectrum positive definiteness Mathematics QA1-939
spellingShingle	weighted inequality fourth-order differential operator oscillation non-oscillation spectrum discreteness spectrum positive definiteness Mathematics QA1-939 Aigerim Kalybay Ryskul Oinarov Yaudat Sultanaev Weighted Second-Order Differential Inequality on Set of Compactly Supported Functions and Its Applications
description	In the paper, we establish the oscillatory and spectral properties of a class of fourth-order differential operators in dependence on integral behavior of its coefficients at zero and infinity. In order to obtain these results, we investigate a certain weighted second-order differential inequality of independent interest.
format	article
author	Aigerim Kalybay Ryskul Oinarov Yaudat Sultanaev
author_facet	Aigerim Kalybay Ryskul Oinarov Yaudat Sultanaev
author_sort	Aigerim Kalybay
title	Weighted Second-Order Differential Inequality on Set of Compactly Supported Functions and Its Applications
title_short	Weighted Second-Order Differential Inequality on Set of Compactly Supported Functions and Its Applications
title_full	Weighted Second-Order Differential Inequality on Set of Compactly Supported Functions and Its Applications
title_fullStr	Weighted Second-Order Differential Inequality on Set of Compactly Supported Functions and Its Applications
title_full_unstemmed	Weighted Second-Order Differential Inequality on Set of Compactly Supported Functions and Its Applications
title_sort	weighted second-order differential inequality on set of compactly supported functions and its applications
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/fccabe3dab5b405392c6741499e97df8
work_keys_str_mv	AT aigerimkalybay weightedsecondorderdifferentialinequalityonsetofcompactlysupportedfunctionsanditsapplications AT ryskuloinarov weightedsecondorderdifferentialinequalityonsetofcompactlysupportedfunctionsanditsapplications AT yaudatsultanaev weightedsecondorderdifferentialinequalityonsetofcompactlysupportedfunctionsanditsapplications
_version_	1718431860305952768

Weighted Second-Order Differential Inequality on Set of Compactly Supported Functions and Its Applications

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