On the difference equation xn+1 = a0xn + a1xn−1 + · · · + akxn−k ⁄ b0xn + b1xn−1 + · · · + bkxn−k

Title:

On the difference equation xn+1 = a0xn + a1xn−1 + · · · + akxn−k ⁄ b0xn + b1xn−1 + · · · + bkxn−k

Creator:

Elabbasy, Elmetwally M., El-Metwally, Hamdy, and Elsayed, E. M.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:949e0630-ab24-4468-8267-9db1f860851e
uuid:949e0630-ab24-4468-8267-9db1f860851e
doi:10.21136/MB.2008.134057

Subject:

stability, periodic solution, and difference equation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper we investigate the global convergence result, boundedness and periodicity of solutions of the recursive sequence xn+1 = a0xn + a1xn−1 + . . . + akxn−k ⁄ b0xn + b1xn−1 + . . . + bkxn−k , n = 0, 1, . . . where the parameters ai and bi for i = 0, 1, . . . , k are positive real numbers and the initial conditions x−k, x−k+1, . . . , x0 are arbitrary positive numbers.

Language:

English

Rights:

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

Coverage:

133-147

Source:

Mathematica bohemica | 2008 Volume:133 | Number:2

Harvested from:

CDK

Metadata only:

false