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dc.contributor.authorStević, Stevoen
dc.contributor.authorIričanin, Bratislaven
dc.contributor.authorKosmala, Witolden
dc.contributor.authorŠmarda, Zdeněken
dc.date.accessioned2020-05-01T20:13:12Z-
dc.date.available2020-05-01T20:13:12Z-
dc.date.issued2018-01-01en
dc.identifier.issn1417-3875-
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/1363-
dc.description.abstractWe present a representation of well-defined solutions to the following nonlinear second-order difference equation (Formula Presented.) where parameters a, b, c, and initial values x –1 and x 0 are complex numbers such that c ≠ 0, in terms of the parameters, initial values, and a special solution to a thirdorder homogeneous linear difference equation with constant coefficients associated to the nonlinear difference equation, generalizing a recent result in the literature, completing the proof therein by using an essentially constructive method, and giving some theoretical explanations related to the method for solving the difference equation. We also give a more concrete representation of the solutions to the nonlinear difference equation by calculating the special solution to the third-order homogeneous linear difference equation in terms of the zeros of the characteristic polynomial associated to the linear difference equation.en
dc.publisherBolyai Institute, University of Szeged-
dc.relationModulation of intracellular energy balance-controlling signalling pathways in therapy of cancer and neuro-immuno-endocrine disorders-
dc.relationPhysical and functional effects of radiation interaction with electrotechnical and biological systems-
dc.relationDevelopment of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education-
dc.relationBrno University of Technology, Project FEKT-S-17-4225-
dc.relation.ispartofElectronic Journal of Qualitative Theory of Differential Equationsen
dc.subjectLinear difference equation | Nonlinear second-order difference equation | Representation of solutions | Solvable difference equationen
dc.titleRepresentation of solutions of a solvable nonlinear difference equation of second orderen
dc.typeArticleen
dc.identifier.doi10.14232/ejqtde.2018.1.95en
dc.identifier.scopus2-s2.0-85062157906en
dc.relation.volume2018en
dc.description.rankM21-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextNo Fulltext-
crisitem.author.orcid0000-0002-7202-9764-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/novi_sajt/research/projects/044006e.php-
crisitem.project.fundingProgramNATIONAL HEART, LUNG, AND BLOOD INSTITUTE-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NIH/NATIONAL HEART, LUNG, AND BLOOD INSTITUTE/5R01HL044006-04-
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