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dc.contributor.authorHassan, T. S.en
dc.contributor.authorOthman Almatroud, A.en
dc.contributor.authorAl-Sawalha, M. M.en
dc.contributor.authorOdinaev, I.en
dc.date.accessioned2022-05-12T08:14:42Z-
dc.date.available2022-05-12T08:14:42Z-
dc.date.issued2021-
dc.identifier.citationAsymptotics and Hille-Type Results for Dynamic Equations of Third Order with Deviating Arguments / T. S. Hassan, A. Othman Almatroud, M. M. Al-Sawalha et al. // Symmetry. — 2021. — Vol. 13. — Iss. 11. — 2007.en
dc.identifier.issn2073-8994-
dc.identifier.otherAll Open Access, Gold3
dc.identifier.urihttp://elar.urfu.ru/handle/10995/111219-
dc.description.abstractThe 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. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.en
dc.description.sponsorshipAcknowledgments: This research has been funded by Scientific Research Deanship at University of Ha’il—Saudi Arabia through project number RG-20 125.en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherMDPIen1
dc.publisherMDPI AGen
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceSymmetry2
dc.sourceSymmetryen
dc.subjectASYMPTOTIC BEHAVIORen
dc.subjectDYNAMIC EQUATIONSen
dc.subjectEULER-TYPE EQUATIONen
dc.subjectHILLE-TYPE OSCILLATION CRITERIAen
dc.subjectTIME SCALESen
dc.titleAsymptotics and Hille-Type Results for Dynamic Equations of Third Order with Deviating Argumentsen
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.3390/sym13112007-
dc.identifier.scopus85118266226-
local.contributor.employeeHassan, T.S., Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il, 2440, Saudi Arabia, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt; Othman Almatroud, A., Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il, 2440, Saudi Arabia; Al-Sawalha, M.M., Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il, 2440, Saudi Arabia; Odinaev, I., Department of Automated Electrical Systems, Ural Power Engineering Institute, Ural Federal University, Yekaterinburg, 620002, Russian Federationen
local.issue11-
local.volume13-
dc.identifier.wos000807214000001-
local.contributor.departmentDepartment of Mathematics, Faculty of Science, University of Ha’il, Ha’il, 2440, Saudi Arabia; Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt; Department of Automated Electrical Systems, Ural Power Engineering Institute, Ural Federal University, Yekaterinburg, 620002, Russian Federationen
local.identifier.pure28887932-
local.description.order2007-
local.identifier.eid2-s2.0-85118266226-
local.identifier.wosWOS:000807214000001-
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