Publication result detail

On the Difference Equation $ x_n = a _nx_{n-k}/(b_nc_n x_{n-1} ... x_{n-k}) $

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

Original Title

On the Difference Equation $ x_n = a _nx_{n-k}/(b_nc_n x_{n-1} ... x_{n-k}) $

English Title

On the Difference Equation $ x_n = a _nx_{n-k}/(b_nc_n x_{n-1} ... x_{n-k}) $

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

The behavior of well-defined solutions of the difference equation $ x_n = a _nx_{n-k}/(b_nc_n x_{n-1} ... x_{n-k}) $, where, $n\in N_0$, $k\in N$ is fixed, the sequences $a_n$, $b_n$ and $c_n$ are real, $(b_n, c_n)\not =(0, 0)$, and the initial values are real numbers, is described.

English abstract

The behavior of well-defined solutions of the difference equation $ x_n = a _nx_{n-k}/(b_nc_n x_{n-1} ... x_{n-k}) $, where, $n\in N_0$, $k\in N$ is fixed, the sequences $a_n$, $b_n$ and $c_n$ are real, $(b_n, c_n)\not =(0, 0)$, and the initial values are real numbers, is described.

Keywords

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

Key words in English

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

Authors

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

RIV year

2013

Released

17.08.2012

ISBN

1085-3375

Periodical

Abstract and Applied Analysis

Volume

2012

Number

ID 409237

State

United States of America

Pages from

1

Pages to

20

Pages count

20

BibTex

@article{BUT93283,
  author="Stevo {Stevič} and Josef {Diblík} and Bratislav {Iričanin} and Zdeněk {Šmarda}",
  title="On the Difference Equation $ x_n = a _nx_{n-k}/(b_nc_n x_{n-1} ... x_{n-k}) $",
  journal="Abstract and Applied Analysis",
  year="2012",
  volume="2012",
  number="ID 409237",
  pages="1--20",
  issn="1085-3375"
}