Asymptotic and boundedness behaviour of a rational difference equation

Asymptotic and boundedness behaviour of a rational difference equation

In this work, we investigate the asymptotic behaviour and examine boundedness of the solutions for the following difference equation xn+1=αλ−(nxn+(n−k)xn−k)β+nxn+(n−k)xn−k,n=0,1,2,…(1) where λ≥1 and α,β≥0 and x−k,x−(k−1),…,x−1,x0 are arbitrary numbers.

Bibliographic Details
Main Authors: Dilip, Devadanam Suseela, Kilicman, Adem, Babu, Sibi C.
Format: Article
Language:English
Published: Taylor and Francis 2019
Online Access:http://psasir.upm.edu.my/id/eprint/80768/
http://psasir.upm.edu.my/id/eprint/80768/1/Asymptotic%20and%20boundedness%20behaviour%20of%20a%20rational%20difference%20equation.pdf

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