Asymptotic stability of solutions to perturbed linear difference equations with periodic coefficients

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dc.contributor.authorAydin K.
dc.contributor.authorBulgak H.
dc.contributor.authorDemidenko G.V.
dc.date.accessioned2020-03-26T16:44:59Z
dc.date.available2020-03-26T16:44:59Z
dc.date.issued2002
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractWe consider perturbed linear systems of difference equations with periodic coefficients. The zero solution of a nonperturbed system is assumed asymptotically stable, i.e., all eigenvalues of the monodromy matrix belong to the unit disk {|?| < 1}. We obtain conditions on the perturbation of this system under which the zero solution of the system is asymptotically stable and also establish continuous dependence of one class of numeric characteristics of asymptotic stability of solutions on the coefficients of the system.en_US
dc.description.sponsorshipRussian Foundation for Basic Research: 99–01–00533 Consejo Nacional de Investigaciones Científicas y Técnicasen_US
dc.description.sponsorshipMay–June, 2002. Original article submitted May 31, 2001. 0037-4466/02/4303–0389 $27.00 ©c 2002 Plenum Publishing Corporation The research was supported by the Scientific and Technical Research Council of Turkey (TUBITAK) and the Russian Foundation for Basic Research (Grant 99–01–00533).en_US
dc.identifier.doi10.1023/A:1015492015263en_US
dc.identifier.endpage401en_US
dc.identifier.issn0037-4466en_US
dc.identifier.issue3en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage389en_US
dc.identifier.urihttps://dx.doi.org/10.1023/A:1015492015263
dc.identifier.urihttps://hdl.handle.net/20.500.12395/18138
dc.identifier.volume43en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofSiberian Mathematical Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectDifference equationsen_US
dc.subjectLyapunov equationen_US
dc.subjectPerturbationen_US
dc.subjectStabilityen_US
dc.titleAsymptotic stability of solutions to perturbed linear difference equations with periodic coefficientsen_US
dc.typeArticleen_US

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