Detail publikačního výsledku

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

STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z.

Originální název

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

Anglický název

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

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

Difference equationUnbounded solutionsNondecreasing functionHomogeneous function

Klíčová slova v angličtině

Difference equationUnbounded solutionsNondecreasing functionHomogeneous function

Autoři

STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z.

Rok RIV

2022

Vydáno

23.02.2022

Nakladatel

Springer Nature

ISSN

1029-242X

Periodikum

Journal of Inequalities and Applications

Svazek

2022

Číslo

1

Stát

Švýcarská konfederace

Strany od

1

Strany do

7

Strany počet

7

URL

https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-022-02761-9

Plný text v Digitální knihovně

http://hdl.handle.net/11012/203957

BibTex

@article{BUT176971,
  author="Stevo {Stevič} and Bratislav {Iričanin} and Witold {Kosmala} and Zdeněk {Šmarda}",
  title="Note on difference equations with the right-hand side function nonincreasing in each variable",
  journal="Journal of Inequalities and Applications",
  year="2022",
  volume="2022",
  number="1",
  pages="1--7",
  doi="10.1186/s13660-022-02761-9",
  url="https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-022-02761-9"
}

Dokumenty

s13660-022-02761-9