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On the stability of the third order partial differential equation with time delay

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dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorIbrahim, Suleiman
dc.contributor.authorHinçal, Evren
dc.contributor.institutionAshyralyev, Allaberen, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
dc.contributor.institutionIbrahim, Suleiman, Yakın Doğu Üniversitesi, Nicosia, Cyprus
dc.contributor.institutionHinçal, Evren, Yakın Doğu Üniversitesi, Nicosia, Cyprus
dc.date.accessioned2025-10-05T14:37:52Z
dc.date.issued2025
dc.description.abstractIn this paper, the initial value problem for a third-order partial differential equation with time delay within a Hilbert space was analyzed. We establish a key theorem regarding the stability of this problem. Additionally, we demonstrate how this stability theorem can be applied to the third-order partial differential equation with time delay. © 2025 Elsevier B.V., All rights reserved.
dc.identifier.doi10.31489/2025m1/24-33
dc.identifier.endpage33
dc.identifier.issn26635011
dc.identifier.issn25187929
dc.identifier.issue1
dc.identifier.scopus2-s2.0-105004775246
dc.identifier.startpage24
dc.identifier.urihttps://doi.org/10.31489/2025m1/24-33
dc.identifier.urihttps://hdl.handle.net/20.500.14719/6733
dc.identifier.volume117
dc.language.isoen
dc.publisherE.A. Buketov Karaganda University Publish house
dc.relation.oastatusAll Open Access
dc.relation.oastatusGold Open Access
dc.relation.sourceBulletin of the Karaganda University. Mathematics Series
dc.subject.authorkeywordsStability
dc.subject.authorkeywordsThird Order Partial Differential Equations
dc.subject.authorkeywordsTime Delay
dc.titleOn the stability of the third order partial differential equation with time delay
dc.typeArticle
dcterms.referencesAmirov, Sherif, Mixed boundary value problem for a class of strongly nonlinear Sobolev-type equations of higher order, Doklady Mathematics, 88, 1, pp. 446-448, (2013), Ashyralyev, Allaberen, A Stable Difference Scheme for a Third-Order Partial Differential Equation, Journal of Mathematical Sciences, 260, 4, pp. 399-417, (2022), Niu, Jing, Numerical algorithm for the third-order partial differential equation with three-point boundary value problem, Abstract and Applied Analysis, 2014, (2014), Afuwape, Anthony Uyi, Stability and boundedness of solutions of a kind of third-order delay differential equations, Computational and Applied Mathematics, 29, 3, pp. 329-342, (2010), Al Themairi, Asma, Third-Order Neutral Differential Equations with Damping and Distributed Delay: New Asymptotic Properties of Solutions, Symmetry, 14, 10, (2022), Ashyralyev, Allaberen, A Numerical Algorithm for the Third Order Delay Partial Differential Equation with Involution and Neumann Boundary Condition, AIP Conference Proceedings, 2781, (2023), Baculíková, Blanka, Oscillation of third order trinomial delay differential equations, Applied Mathematics and Computation, 218, 13, pp. 7023-7033, (2012), Cahlon, Baruch, Stability criteria for certain third-order delay differential equations, Journal of Computational and Applied Mathematics, 188, 2, pp. 319-335, (2006), Grace, Said Rezk, Oscillation criteria for third order nonlinear delay differential equations with damping, Opuscula Mathematica, 35, 4, pp. 485-497, (2015), Pikina, Galina A., Predictive time optimal algorithm for a third-order dynamical system with delay, Journal of Physics: Conference Series, 891, 1, (2017)
dspace.entity.typePublication
local.indexed.atScopus
person.identifier.scopus-author-id6602401828
person.identifier.scopus-author-id57210539541
person.identifier.scopus-author-id26635282900

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