Note on difference equations with the right-hand side function nonincreasing in each variable
| dc.contributor.author | Stevič, Stevo | cs |
| dc.contributor.author | Iričanin, Bratislav | cs |
| dc.contributor.author | Kosmala, Witold | cs |
| dc.contributor.author | Šmarda, Zdeněk | cs |
| dc.coverage.issue | 1 | cs |
| dc.coverage.volume | 2022 | cs |
| dc.date.issued | 2022-02-23 | cs |
| dc.description.abstract | We present an example of a difference equation of arbitrary order, possessing the right-hand side function that is homogeneous to a certain degree and nonincreasing in each variable, which has a unique positive equilibrium, as well as solutions that do not converge to the equilibrium. The example shows that the main result in the paper: O. Moaaz, Dynamics of difference equation x(n+1) = f (x(n-l), x(n-k)) (Adv. Differ. Equ. 2018:447, 2018), is incorrect. | en |
| dc.format | text | cs |
| dc.format.extent | 1-7 | cs |
| dc.format.mimetype | application/pdf | cs |
| dc.identifier.citation | Journal of Inequalities and Applications. 2022, vol. 2022, issue 1, p. 1-7. | en |
| dc.identifier.doi | 10.1186/s13660-022-02761-9 | cs |
| dc.identifier.issn | 1029-242X | cs |
| dc.identifier.orcid | 0000-0002-9559-6630 | cs |
| dc.identifier.other | 176971 | cs |
| dc.identifier.researcherid | AAA-1702-2022 | cs |
| dc.identifier.scopus | 23973557200 | cs |
| dc.identifier.uri | http://hdl.handle.net/11012/203957 | |
| dc.language.iso | en | cs |
| dc.publisher | Springer Nature | cs |
| dc.relation.ispartof | Journal of Inequalities and Applications | cs |
| dc.relation.uri | https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-022-02761-9 | cs |
| dc.rights | Creative Commons Attribution 4.0 International | cs |
| dc.rights.access | openAccess | cs |
| dc.rights.sherpa | http://www.sherpa.ac.uk/romeo/issn/1029-242X/ | cs |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | cs |
| dc.subject | Difference equationUnbounded solutionsNondecreasing functionHomogeneous function | en |
| dc.title | Note on difference equations with the right-hand side function nonincreasing in each variable | en |
| dc.type.driver | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |
| sync.item.dbid | VAV-176971 | en |
| sync.item.dbtype | VAV | en |
| sync.item.insts | 2025.02.03 15:40:49 | en |
| sync.item.modts | 2025.01.17 18:48:16 | en |
| thesis.grantor | Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematiky | cs |
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