DC Field | Value | Language |
---|---|---|
dc.contributor.author | Stević, Stevo | - |
dc.date.accessioned | 2020-07-14T07:23:51Z | - |
dc.date.available | 2020-07-14T07:23:51Z | - |
dc.date.issued | 2017-06-15 | - |
dc.identifier.issn | 1687-1847 | - |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/3814 | - |
dc.description.abstract | We present some interesting facts connected with the following second-order difference equation: xn+2−qnxn=fn,n∈N0, where (qn)n∈N0 and (fn)n∈N0 are given sequences of numbers. We give some sufficient conditions for the existence of a unique bounded solution to the difference equation and present an elegant proof based on a combination of theory of linear difference equations and the Banach fixed point theorem. We also deal with the equation by using theory of solvability of difference equations. A global convergence result of solutions to a linear first-order difference equation is given. Some comments on an abstract version of the linear first-order difference equation are also given. | - |
dc.publisher | Springer Link | - |
dc.relation.ispartof | Advances in Difference Equations | - |
dc.title | Existence of a unique bounded solution to a linear second-order difference equation and the linear first-order difference equation | - |
dc.type | Article | - |
dc.identifier.doi | 10.1186/s13662-017-1227-x | - |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |
dc.description.rank | M21 | - |
item.fulltext | No Fulltext | - |
item.openairetype | Article | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.author.orcid | 0000-0002-7202-9764 | - |
SCOPUSTM
Citations
33
checked on Apr 1, 2025
Page view(s)
18
checked on Jan 31, 2025
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.