Note on difference equations with the right-hand side function nonincreasing in each variable
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F22%3APU143835" target="_blank" >RIV/00216305:26220/22:PU143835 - isvavai.cz</a>
Result on the web
<a href="https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-022-02761-9" target="_blank" >https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-022-02761-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1186/s13660-022-02761-9" target="_blank" >10.1186/s13660-022-02761-9</a>
Alternative languages
Result language
angličtina
Original language name
Note on difference equations with the right-hand side function nonincreasing in each variable
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Inequalities and Applications
ISSN
1025-5834
e-ISSN
1029-242X
Volume of the periodical
2022
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
7
Pages from-to
1-7
UT code for WoS article
000760211600001
EID of the result in the Scopus database
2-s2.0-85125487025