Detail publikace

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

Originální název

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

Anglický název

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

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

BibTex


@article{BUT116576,
  author="Stevo {Stevič} and Josef {Diblík} and Bratislav {Iričanin} and Zdeněk {Šmarda}",
  title="On the system of difference equations $$ x_n=\frac{x_{n-1}y_{n-2}}{ay_{n-2}+by_{n-1}}, y_n=\frac{y_{n-1}x_{n-2}}{cx_{n-2}+dx_{n-1}}$$.",
  annote="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.",
  chapter="116576",
  doi="10.1016/j.amc.2015.08.072",
  howpublished="online",
  number="270",
  volume="2015",
  year="2015",
  month="november",
  pages="688--704",
  type="journal article in Web of Science"
}