Multiple delayed linear difference equations with non-permutable matrix coefficients: The method of Z-transform

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dc.contributor.authorMahmudov, Nazim Idrisoglu
dc.date.accessioned2026-02-06T18:01:26Z
dc.date.issued2024
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIn this paper, a system of nonhomogeneous linear difference equations is studied, characterized by any finite number of constant delays and linear components expressed through non-permutable matrices. An explicit representation of the solutions of multi-delayed linear difference equations is derived through the introduction of a multi-delayed perturbation using a multivariate determining function and the application of the Z-transform method. The necessity for the matrix of the non-delayed term to be invertible, a condition that had been mandated in recent research studies, is eliminated. The representation is suitable for theoretical as well as practical computations. © 2024, MTJPAM Turkey. All rights reserved.
dc.identifier.endpage146
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85218755559
dc.identifier.scopusqualityQ1
dc.identifier.startpage138
dc.identifier.urihttps://hdl.handle.net/11129/8477
dc.identifier.volume6
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMTJPAM Turkey
dc.relation.ispartofMontes Taurus Journal of Pure and Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20260204
dc.subjectDiscrete systems
dc.subjectrepresentation
dc.subjectZ-transform
dc.titleMultiple delayed linear difference equations with non-permutable matrix coefficients: The method of Z-transform
dc.typeArticle

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