Asymptotics and Hille-Type Results for Dynamic Equations of Third Order with Deviating Arguments

The aim of this paper is to deduce the asymptotic and Hille-type criteria of the dynamic equations of third order on time scales. Some of the presented results concern the sufficient condition for the oscillation of all solutions of third-order dynamical equations. Additionally, compared with the re...

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Autores principales:	Taher S. Hassan, A. Othman Almatroud, Mohammed M. Al-Sawalha, Ismoil Odinaev
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	asymptotic behavior Hille-type oscillation criteria Euler-type equation time scales dynamic equations Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/99e3c76d775a4fefb38ad5e327eebe41
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spelling	oai:doaj.org-article:99e3c76d775a4fefb38ad5e327eebe412021-11-25T19:05:59ZAsymptotics and Hille-Type Results for Dynamic Equations of Third Order with Deviating Arguments10.3390/sym131120072073-8994https://doaj.org/article/99e3c76d775a4fefb38ad5e327eebe412021-10-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2007https://doaj.org/toc/2073-8994The aim of this paper is to deduce the asymptotic and Hille-type criteria of the dynamic equations of third order on time scales. Some of the presented results concern the sufficient condition for the oscillation of all solutions of third-order dynamical equations. Additionally, compared with the related contributions reported in the literature, the Hille-type oscillation criterion which is derived is superior for dynamic equations of third order. The symmetry plays a positive and influential role in determining the appropriate type of study for the qualitative behavior of solutions to dynamic equations. Some examples of Euler-type equations are included to demonstrate the finding.Taher S. HassanA. Othman AlmatroudMohammed M. Al-SawalhaIsmoil OdinaevMDPI AGarticleasymptotic behaviorHille-type oscillation criteriaEuler-type equationtime scalesdynamic equationsMathematicsQA1-939ENSymmetry, Vol 13, Iss 2007, p 2007 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	asymptotic behavior Hille-type oscillation criteria Euler-type equation time scales dynamic equations Mathematics QA1-939
spellingShingle	asymptotic behavior Hille-type oscillation criteria Euler-type equation time scales dynamic equations Mathematics QA1-939 Taher S. Hassan A. Othman Almatroud Mohammed M. Al-Sawalha Ismoil Odinaev Asymptotics and Hille-Type Results for Dynamic Equations of Third Order with Deviating Arguments
description	The aim of this paper is to deduce the asymptotic and Hille-type criteria of the dynamic equations of third order on time scales. Some of the presented results concern the sufficient condition for the oscillation of all solutions of third-order dynamical equations. Additionally, compared with the related contributions reported in the literature, the Hille-type oscillation criterion which is derived is superior for dynamic equations of third order. The symmetry plays a positive and influential role in determining the appropriate type of study for the qualitative behavior of solutions to dynamic equations. Some examples of Euler-type equations are included to demonstrate the finding.
format	article
author	Taher S. Hassan A. Othman Almatroud Mohammed M. Al-Sawalha Ismoil Odinaev
author_facet	Taher S. Hassan A. Othman Almatroud Mohammed M. Al-Sawalha Ismoil Odinaev
author_sort	Taher S. Hassan
title	Asymptotics and Hille-Type Results for Dynamic Equations of Third Order with Deviating Arguments
title_short	Asymptotics and Hille-Type Results for Dynamic Equations of Third Order with Deviating Arguments
title_full	Asymptotics and Hille-Type Results for Dynamic Equations of Third Order with Deviating Arguments
title_fullStr	Asymptotics and Hille-Type Results for Dynamic Equations of Third Order with Deviating Arguments
title_full_unstemmed	Asymptotics and Hille-Type Results for Dynamic Equations of Third Order with Deviating Arguments
title_sort	asymptotics and hille-type results for dynamic equations of third order with deviating arguments
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/99e3c76d775a4fefb38ad5e327eebe41
work_keys_str_mv	AT tahershassan asymptoticsandhilletyperesultsfordynamicequationsofthirdorderwithdeviatingarguments AT aothmanalmatroud asymptoticsandhilletyperesultsfordynamicequationsofthirdorderwithdeviatingarguments AT mohammedmalsawalha asymptoticsandhilletyperesultsfordynamicequationsofthirdorderwithdeviatingarguments AT ismoilodinaev asymptoticsandhilletyperesultsfordynamicequationsofthirdorderwithdeviatingarguments
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Asymptotics and Hille-Type Results for Dynamic Equations of Third Order with Deviating Arguments

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