Global Attractivity of a Rational Difference Equation
نویسندگان
چکیده
منابع مشابه
The Global Attractivity of a Higher Order Rational Difference Equation
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This paper studies the behavior of positive solutions of the recursive equation yn = 1 + yn−k yn−m , n = 0, 1, 2, . . . , with y−s, y−s+1, . . . , y−1 ∈ (0,∞) and k,m ∈ {1, 2, 3, 4, . . .}, where s = max{k,m}. We prove that if gcd(k,m) = 1, with k odd, then yn tends to 2, exponentially. When combined with a recent result of E. A. Grove and G. Ladas (Periodicities in Nonlinear Difference Equatio...
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This paper studies the behavior of positive solutions of the recursive equation yn = 1 + yn−k yn−m , n = 0, 1, 2, . . . , with y−s, y−s+1, . . . , y−1 ∈ (0,∞) and k, m ∈ {1, 2, 3, 4, . . .}, where s = max{k, m}. We prove that if gcd(k, m) = 1, with k odd, then yn tends to 2, exponentially. When combined with a recent result in E. A. Grove, and G. Ladas, Periodicities in Nonlinear Difference Equ...
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ژورنال
عنوان ژورنال: Mathematical Sciences Letters
سال: 2013
ISSN: 2090-9616,2090-9624
DOI: 10.12785/msl/020302