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"
}