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Attractivity of the recursive sequence

✍ Scribed by Alaa E. Hamza; S.G. Barbary

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 441 KB
Volume: 48
Category: Article
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2008.04.011

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✦ Synopsis

In this paper we investigate the global attractivity of the recursive sequence

where α, β ≥ 0. We show that the unique positive equilibrium point of the equation is a global attractor with some basin. We apply this result to the rational recursive sequence

where α, β, a i , b i ≥ 0 and γ > 0, and prove that the positive equilibrium point of the equation is a global attractor with a basin that depends on certain conditions posed on the coefficients.

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