Publication 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
journal article - other
Language
en
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
RIV year
2012
Released
17.08.2012
ISBN
1085-3375
Periodical
Abstract and Applied Analysis
Year of study
2012
Number
ID 409237
State
US
Pages from
1
Pages to
20
Pages count
20
Documents
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}) $",
annote="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.",
chapter="93283",
number="ID 409237",
volume="2012",
year="2012",
month="august",
pages="1--20",
type="journal article - other"
}