Representation of the solutions of linear discrete systems with constant coefficients and two delays

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dc.contributor.authorDiblík, Josefcs
dc.contributor.authorMorávková, Blankacs
dc.coverage.issue1cs
dc.coverage.volume2014cs
dc.date.issued2014-05-13cs
dc.description.abstractThe purpose of this paper is to develop a method for the construction of solutions to initial problems of linear discrete systems with constant coefficients and with two delays. Solutions are expressed with the aid of a special function called the discrete matrix delayed exponential for two delays. Such approach results in a possibility to express an initial Cauchy problem in a closed form. Examples are shown illustrating the results obtained.en
dc.description.abstractThe purpose of this paper is to develop a method for the construction of solutions to initial problems of linear discrete systems with constant coefficients and with two delays. Solutions are expressed with the aid of a special function called the discrete matrix delayed exponential for two delays. Such approach results in a possibility to express an initial Cauchy problem in a closed form. Examples are shown illustrating the results obtained.en
dc.formattextcs
dc.format.extent1-19cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationAbstract and Applied Analysis. 2014, vol. 2014, issue 1, p. 1-19.en
dc.identifier.doi10.1155/2014/320476cs
dc.identifier.issn1085-3375cs
dc.identifier.orcid0000-0001-5009-316Xcs
dc.identifier.orcid0000-0002-8418-4120cs
dc.identifier.other107483cs
dc.identifier.researcheridD-3530-2014cs
dc.identifier.scopus6701633618cs
dc.identifier.urihttp://hdl.handle.net/11012/193159
dc.language.isoencs
dc.publisherHindawics
dc.relation.ispartofAbstract and Applied Analysiscs
dc.relation.urihttp://www.hindawi.com/journals/aaa/2014/320476/cs
dc.rightsCreative Commons Attribution 3.0 Unportedcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1085-3375/cs
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/cs
dc.subjectDiscrete matrix delayed exponentialen
dc.subjecttwo delaysen
dc.subjectinitial problemen
dc.subjectDiscrete matrix delayed exponential
dc.subjecttwo delays
dc.subjectinitial problem
dc.titleRepresentation of the solutions of linear discrete systems with constant coefficients and two delaysen
dc.title.alternativeRepresentation of the solutions of linear discrete systems with constant coefficients and two delaysen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-107483en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 14:15:44en
sync.item.modts2025.10.14 10:22:47en
thesis.grantorVysoké učení technické v Brně. Fakulta stavební. Ústav matematiky a deskriptivní geometriecs
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs

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