Publication result detail

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

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

Original Title

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

English Title

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

Type

WoS Article

Original 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.

English 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.

Keywords

Difference equationUnbounded solutionsNondecreasing functionHomogeneous function

Key words in English

Difference equationUnbounded solutionsNondecreasing functionHomogeneous function

Authors

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

RIV year

2022

Released

23.02.2022

Publisher

Springer Nature

ISBN

1029-242X

Periodical

Journal of Inequalities and Applications

Volume

2022

Number

1

State

Swiss Confederation

Pages from

1

Pages to

7

Pages count

7

URL

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

Full text in the Digital Library

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"
}

Documents

s13660-022-02761-9