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Stability of the Recursive Sequence xn + 1 = (α − βxn)/(γ + xn − 1)

✍ Scribed by Mona T. Aboutaleb; M.A. El-Sayed; Alaa E. Hamza

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
69 KB
Volume
261
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper we investigate the global asymptotic stability of the recursive

, n s 0, 1, . . . , where ␣, ␤, ␥ G 0. We

show that the unique positive equilibrium point of the equation is a global attractor with a basin that depends on the conditions posed on the coefficients.

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