Publication detail

On the system of difference equations $$ x_n=\frac{x_{n-1}y_{n-2}}{ay_{n-2}+by_{n-1}}, y_n=\frac{y_{n-1}x_{n-2}}{cx_{n-2}+dx_{n-1}}$$.

STEVIČ, S. DIBLÍK, J. IRIČANIN, B. ŠMARDA, Z.

Original Title

On the system of difference equations $$ x_n=\frac{x_{n-1}y_{n-2}}{ay_{n-2}+by_{n-1}}, y_n=\frac{y_{n-1}x_{n-2}}{cx_{n-2}+dx_{n-1}}$$.

Type

journal article in Web of Science

Language

English

Original Abstract

We show that the investigated system of difference equations is solvable in closed form and by using obtained formulas we give some results on the long term behavior of their solutions.

Keywords

System of difference equations; System solved in closed form; Long term behavior

Authors

STEVIČ, S.; DIBLÍK, J.; IRIČANIN, B.; ŠMARDA, Z.

RIV year

2015

Released

1. 11. 2015

ISBN

0096-3003

Periodical

APPLIED MATHEMATICS AND COMPUTATION

Year of study

2015

Number

270

State

United States of America

Pages from

688

Pages to

704

Pages count

17

URL

http://www.sciencedirect.com/science/article/pii/S0096300315011285

BibTex

@article{BUT116576,
  author="Stevo {Stevič} and Josef {Diblík} and Bratislav {Iričanin} and Zdeněk {Šmarda}",
  title="On the system of difference equations $$ x_n=\frac{x_{n-1}y_{n-2}}{ay_{n-2}+by_{n-1}}, y_n=\frac{y_{n-1}x_{n-2}}{cx_{n-2}+dx_{n-1}}$$.",
  journal="APPLIED MATHEMATICS AND COMPUTATION",
  year="2015",
  volume="2015",
  number="270",
  pages="688--704",
  doi="10.1016/j.amc.2015.08.072",
  issn="0096-3003",
  url="http://www.sciencedirect.com/science/article/pii/S0096300315011285"
}