Ulam-Hyers Stabilities of Impulsive Time-Delay Semi Linear Systems with Non-Permutable Matrices

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dc.contributor.advisorMahmudov, Nazım (Supervisor)
dc.contributor.authorAlmatarneh, Amal Mohammad Ata
dc.date.accessioned2026-01-30T05:58:40Z
dc.date.available2026-01-30T05:58:40Z
dc.date.issued2021-02
dc.date.submitted2021-02
dc.departmentEastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematicsen_US
dc.descriptionDoctor of Philosophy in Mathematics. Institute of Graduate Studies and Research. Thesis (Ph.D.) - Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2021. Supervisor: Prof. Dr. Nazım Mahmudoven_US
dc.description.abstractIn this work, asymptotic and Ulam-Hyers stabilities in two cases linear and nonlinear time-delay systems of linear impulsive constrains are studied. The linear parts of the impulsive systems are defined by non-permutable matrices. To obtain solution for linear impulsive delay systems with non-permutable matrices in explicit form, current notion of impulsive delayed matrix exponential is presented. Using the representation formula and norm estimation of impulsive delayed matrix exponential, sufficient conditions for the asymptotic and Ulam-Hyers stabilities are obtained.en_US
dc.description.abstractÖZ: Bu çalışmada, asimtotik ve Ulam-Hyers kararlılıkları iki durumda, lineer ve lineer olmayan lineer impalsif kısıtların zaman gecikmeli sistemleri üzerinde çalışılmuştır. İmpalsif sistemlerin lineer kısımları permutable olmayan matrislerle tanımlanmıştır. Açık formdaki permutable olmayan lineer impalsif gecikmeli sistemlere çözüm bulmak için mevcut impalsif gecikmeli matris üstel kavramı sunulmuştur. Temsil formülü ve impalsif gecikmeli matris üstelinin norm tahmini kullanılarak, aismptotik ve Ulam-Hyers kararlılıkları için yeter koşulları elde edilmiştir.en_US
dc.identifier.citationAlmatarneh, Amal Mohammad Ata. (2021). Ulam-Hyers Stabilities of Impulsive Time-Delay Semi Linear Systems with Non-Permutable Matrices. Thesis (Ph.D.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus.en_US
dc.identifier.urihttps://hdl.handle.net/11129/6567
dc.language.isoen
dc.publisherEastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ)en_US
dc.relation.publicationcategoryTez
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectThesis Tezen_US
dc.subjectMathematics Departmenten_US
dc.subjectImpulsive Delay Equationen_US
dc.subjectDelayed Matrix Exponentialen_US
dc.subjectStabilityen_US
dc.titleUlam-Hyers Stabilities of Impulsive Time-Delay Semi Linear Systems with Non-Permutable Matricesen_US
dc.typeDoctoral Thesis

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