Enhanced Impulsive Stabilization Results of Differential and Integro-Differential Equations of Second Order

dc.authorscopusid 56638410400
dc.authorscopusid 6701491922
dc.authorscopusid 6603328862
dc.authorscopusid 59931960700
dc.contributor.author Tunç, O.
dc.contributor.author Berezansky, L.
dc.contributor.author Tunç, C.
dc.contributor.author Yao, J.-C.
dc.date.accessioned 2025-07-30T16:31:52Z
dc.date.available 2025-07-30T16:31:52Z
dc.date.issued 2026
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Tunç] Osman, Department of Computer Programing, Van Yüzüncü Yıl Üniversitesi, Van, Turkey; [Berezansky] Leonid, Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva, Israel; [Tunç] Cemil, Department of Mathematics, Van Yüzüncü Yıl Üniversitesi, Van, Turkey; [Yao] Jenchih, Research Center for Interneural Computing, China Medical University Hospital, Taichung, Taiwan, Academia Oamenilor de Știință din România, Bucharest, Romania en_US
dc.description.abstract This paper delves into the exponential stabilization of delay differential equations (DDEs) and integro-delay differential equations (IDDEs) of second order including multiple constant retardations. By means of impulsive controls (ICs), we prove that the considered DDEs and IDDEs of second order can be exponentially stabilized. By defining two new Lyapunov-Krasovskiı̆ functionals (LKFs), we prove four new results on the exponential impulsive stabilization of the equations. Two examples are given to show numerical applications of the results. The results of this paper generalize and enhance some recent and related results in the literature. © 2025 Elsevier B.V., All rights reserved. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.3934/dcdsb.2025109
dc.identifier.endpage 276 en_US
dc.identifier.issn 1531-3492
dc.identifier.scopus 2-s2.0-105016699296
dc.identifier.scopusquality Q2
dc.identifier.startpage 255 en_US
dc.identifier.uri https://doi.org/10.3934/dcdsb.2025109
dc.identifier.volume 31 en_US
dc.identifier.wos WOS:001517474200001
dc.identifier.wosquality Q2
dc.language.iso en en_US
dc.publisher American Institute of Mathematical Sciences en_US
dc.relation.ispartof Discrete and Continuous Dynamical Systems-Series B en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject DDE en_US
dc.subject IDDE en_US
dc.subject Impulsive en_US
dc.subject LKF en_US
dc.subject Multiple Retardations en_US
dc.subject Second Order en_US
dc.subject Stabilization en_US
dc.title Enhanced Impulsive Stabilization Results of Differential and Integro-Differential Equations of Second Order en_US
dc.type Article en_US
dspace.entity.type Publication

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