On the rational recursive sequence xn+1 = ( A + ∑k i=0 αixn−i )/∑k i=0 βixn−i

Title:

On the rational recursive sequence xn+1 = ( A + ∑k i=0 αixn−i )/∑k i=0 βixn−i

Creator:

Zayed, E. M. E. and El-Moneam, M. A.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:8169fd3e-a6d5-473e-89e2-998e2102a75e
uuid:8169fd3e-a6d5-473e-89e2-998e2102a75e
doi:10.21136/MB.2008.140612

Subject:

difference equations, boundedness character, period two solution, and convergence; global stability

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The main objective of this paper is to study the boundedness character, the periodic character, the convergence and the global stability of positive solutions of the difference equation xn+1 = ( A + ∑ k i=0 αixn−i) ⁄ ∑ k i=0 βixn−i , n = 0, 1, 2, . . . where the coefficients A, αi , βi and the initial conditions x−k, x−k+1, . . . , x−1, x0 are positive real numbers, while k is a positive integer number.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

225-239

Source:

Mathematica bohemica | 2008 Volume:133 | Number:3

Harvested from:

CDK

Metadata only:

false