DC Field | Value | Language |
---|---|---|
dc.contributor.author | Berg, Lothar | en |
dc.contributor.author | Stević, Stevo | en |
dc.date.accessioned | 2020-05-01T20:13:25Z | - |
dc.date.available | 2020-05-01T20:13:25Z | - |
dc.date.issued | 2011-11-01 | en |
dc.identifier.issn | 0096-3003 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/1493 | - |
dc.description.abstract | In this note we show that the following systems of difference equations un+1 = vn/1+ vn, vn+1 = u n/1 + un, un+1 = vn/1+ u n, vn+1 = un/1 + vn, un+1 = un/1+ vn, vn+1 = vn/1 + u n with n∈ℕ0 and complex initial values u oand vo, are solvable explicitly by means of Riccati equations, and based on the formulae for the general solutions we present the behaviour of their solutions as n→∞. While the result is natural for the first system, it is a bit surprising for the other two systems. | en |
dc.publisher | Elsevier | - |
dc.relation.ispartof | Applied Mathematics and Computation | en |
dc.subject | Asymptotics | Boundedness | Convergence | Periodicity | Riccati equations | Symmetric systems | System of difference equations | en |
dc.title | On some systems of difference equations | en |
dc.type | Article | en |
dc.identifier.doi | 10.1016/j.amc.2011.06.050 | en |
dc.identifier.scopus | 2-s2.0-80052271974 | en |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |
dc.relation.firstpage | 1713 | en |
dc.relation.lastpage | 1718 | en |
dc.relation.issue | 5 | en |
dc.relation.volume | 218 | en |
dc.description.rank | M21 | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | Article | - |
item.cerifentitytype | Publications | - |
item.fulltext | No Fulltext | - |
item.grantfulltext | none | - |
crisitem.author.orcid | 0000-0002-7202-9764 | - |
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