Detail publikace

# On the Difference Equation \$ x_{n+1} =x_n x_{n-k}/x_{n-k+1} (a+bx_n x_{n-k})\$

Originální název

On the Difference Equation \$ x_{n+1} =x_n x_{n-k}/x_{n-k+1} (a+bx_n x_{n-k})\$

Anglický název

On the Difference Equation \$ x_{n+1} =x_n x_{n-k}/x_{n-k+1} (a+bx_n x_{n-k})\$

Jazyk

en

Originální abstrakt

In the paper is demonstrated that the difference equation x_{n+1} =x_n x_{n-k}/x_{n-k+1} (a+bx_n x_{n-k}) can be solved in closed form considerably extending the results in the literature. By using obtained formulae, the asymptotic behavior of well-defined solutions of the equation is investigated.

Anglický abstrakt

In the paper is demonstrated that the difference equation x_{n+1} =x_n x_{n-k}/x_{n-k+1} (a+bx_n x_{n-k}) can be solved in closed form considerably extending the results in the literature. By using obtained formulae, the asymptotic behavior of well-defined solutions of the equation is investigated.

BibTex

``````
@article{BUT93214,
author="Stevo {Stevič} and Josef {Diblík} and Bratislav {Iričanin} and Zdeněk {Šmarda}",
title="On the Difference Equation \$ x_{n+1} =x_n x_{n-k}/x_{n-k+1} (a+bx_n x_{n-k})\$",
annote="In the paper is demonstrated that the difference equation x_{n+1} =x_n x_{n-k}/x_{n-k+1} (a+bx_n x_{n-k})  can be solved in closed form considerably extending the results in the literature. By using obtained formulae, the asymptotic behavior of well-defined solutions of the equation is investigated.",
chapter="93214",
number="Article ID 10804",
volume="2012",
year="2012",
month="august",
pages="1--9",
type="journal article - other"
}``````