Publication detail

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

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

Original Title

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

English Title

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

Type

journal article - other

Language

en

Original Abstract

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.

English abstract

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.

Keywords

Difference equation, general solution, asymptotic behavior, well-defined solution.

RIV year

2012

Released

14.08.2012

ISBN

1085-3375

Periodical

Abstract and Applied Analysis

Year of study

2012

Number

Article ID 10804

State

US

Pages from

1

Pages to

9

Pages count

9

Documents

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"
}