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Asymptotic and boundedness behaviour of a rational difference equation


Citation

Dilip, Devadanam Suseela and Kilicman, Adem and Babu, Sibi C. (2019) Asymptotic and boundedness behaviour of a rational difference equation. Journal of Difference Equations and Applications, 25 (3). pp. 305-312. ISSN 1023-6198; ESSN: 1563-5120

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1080/10236198.2019.1568424
Publisher: Taylor and Francis
Keywords: Equilibrium point; Asymptotic stability; Boundedness; Positive solutions
Depositing User: Ms. Nuraida Ibrahim
Date Deposited: 15 Apr 2021 03:22
Last Modified: 15 Apr 2021 03:22
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1080/10236198.2019.1568424
URI: http://psasir.upm.edu.my/id/eprint/80768
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