Rational approximation to xn
نویسندگان
چکیده
منابع مشابه
On the Rational Recursive Sequence xn+1=(α-βxn)/(γ-δxn-xn-k)
We study the global stability, the periodic character, and the boundedness character of the positive solutions of the difference equation xn 1 α − βxn / γ − δxn − xn−k , n 0, 1, 2, . . . , k ∈ {1, 2, . . .}, in the two cases: i δ ≥ 0, α > 0, γ > β > 0; ii δ ≥ 0, α 0, γ, β > 0, where the coefficients α, β, γ, and δ, and the initial conditions x−k, x−k 1, . . . , x−1, x0 are real numbers. We show...
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We study the global asymptotic behavior of the positive solutions of the system of rational difference equations xn+1 = f (xn, yn−k), yn+1 = f (yn,xn−k), n = 0,1,2, . . . , under appropriate assumptions, where k ∈ {1,2, . . .} and the initial values x−k,x−k+1, . . . ,x0, y−k, y−k+1, . . . , y0 ∈ (0,+∞). We give sufficient conditions under which every positive solution of this equation converges...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1978
ISSN: 0021-9045
DOI: 10.1016/0021-9045(78)90039-4