DC Field | Value | Language |
---|---|---|
dc.contributor.author | Stević, Stevo | en |
dc.date.accessioned | 2020-05-01T20:13:42Z | - |
dc.date.available | 2020-05-01T20:13:42Z | - |
dc.date.issued | 2007-04-03 | en |
dc.identifier.issn | 1026-0226 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/1656 | - |
dc.description.abstract | We give a complete picture regarding the behavior of positive solutions of the following important difference equation: xn = 1 + ∑i=1kαixn-pi/ ∑j=1mβjxn-qj, n ∈ ℕ0, where αi, i ∈ {1,...,k}, and βj, j∈ {1,...,m}, are positive numbers such that ∑i=1k αi = ∑j=1m βj = 1, and pi, i ∈ {1,...,k}, and qj, j ∈ {1,...,m}, are natural numbers such that p1 < p2< ⋯ < pk and q1 < q2 ⋯ < qm. The case when gcd (p1,...,pk,q1,...,qm) = 1 is the most important. For the case we prove that if all pi, i ∈ {1,...,k}, are even and all qj, j ∈ {1,...,m}, are odd, then every positive solution of this equation converges to a periodic solution of period two, otherwise, every positive solution of the equation converges to a unique positive equilibrium. | en |
dc.publisher | Hindawi | - |
dc.relation.ispartof | Discrete Dynamics in Nature and Society | en |
dc.title | On the recursive sequence xn = 1 + ∑i=1 k αixn-pi/∑j=1 m βjxn-qj | en |
dc.type | Article | en |
dc.identifier.doi | 10.1155/2007/39404 | en |
dc.identifier.scopus | 2-s2.0-33947628189 | en |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |
dc.relation.issue | 1 | en |
dc.relation.volume | 2007 | en |
dc.description.rank | M22 | - |
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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