Note on difference equations with the right-hand side function nonincreasing in each variable

Thumbnail Image
Files
s13660022027619.pdf(1.25 MB)
Date
2022-02-23
Authors
Stevič, Stevo
Iričanin, Bratislav
Kosmala, Witold
Šmarda, Zdeněk
ORCID
0000-0002-9559-6630
Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Nature
Altmetrics
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.
Description
Keywords
Difference equationUnbounded solutionsNondecreasing functionHomogeneous function
Citation
Journal of Inequalities and Applications. 2022, vol. 2022, issue 1, p. 1-7.
https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-022-02761-9
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en
Study field
Comittee
Date of acceptance
Defence
Result of defence
Document licence
Creative Commons Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
DOI
10.1186/s13660-022-02761-9
URI
http://hdl.handle.net/11012/203957
Collections
Ústav matematiky
Citace PRO