Stability of Ulam-Hyers and Existence of Solutions for Impulsive Time-Delay Semi-Linear Systems with Non-Permutable Matrices

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dc.contributor.authorMahmudov, Nazim I.
dc.contributor.authorAlmatarneh, Amal M.
dc.date.accessioned2026-02-06T18:24:14Z
dc.date.issued2020
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIn this paper, the stability of Ulam-Hyers and existence of solutions for semi-linear time-delay systems with linear impulsive conditions 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, a new concept of impulsive delayed matrix exponential is introduced. Using the representation formula and norm estimation of the impulsive delayed matrix exponential, sufficient conditions for stability of Ulam-Hyers and existence of solutions are obtained.
dc.identifier.doi10.3390/math8091493
dc.identifier.issn2227-7390
dc.identifier.issue9
dc.identifier.orcid0000-0003-3943-1732
dc.identifier.scopus2-s2.0-85091516166
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math8091493
dc.identifier.urihttps://hdl.handle.net/11129/10107
dc.identifier.volume8
dc.identifier.wosWOS:000581992200001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectimpulsive delay equation
dc.subjectdelayed matrix exponential
dc.subjectstability
dc.titleStability of Ulam-Hyers and Existence of Solutions for Impulsive Time-Delay Semi-Linear Systems with Non-Permutable Matrices
dc.typeArticle

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