Global attractivity of neutral difference equations
نویسندگان
چکیده
منابع مشابه
Global Attractivity in Nonlinear Delay Difference Equations
We obtain a set of sufficient conditions under which all positive solutions of the nonlinear delay difference equation x„+l = x„f(xn_k), n = 0,1,2,..., are attracted to the positive equilibrium of the equation. Our result applies, for example, to the delay logistic model JVI+i = aN¡/(\ +ßNt_k) and to the delay difference equation xn+i = x„er^~x"-k'1 .
متن کاملOn Global Attractivity of a Class of Nonautonomous Difference Equations
We mainly investigate the global behavior to the family of higher-order nonautonomous recursive equations given by yn p ryn−s / q φn yn−1, yn−2, . . . , yn−m yn−s , n ∈ N0, with p ≥ 0, r, q > 0, s,m ∈ N and positive initial values, and present some sufficient conditions for the parameters andmaps φn : R m → R , n ∈ N0, under which every positive solution to the equation converges to zero or a u...
متن کاملThe Global Attractivity of the Rational Difference
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...
متن کاملGlobal Attractivity in a Nonlinear Difference Equation
In this paper, we study the asymptotic behavior of positive solutions of the nonlinear difference equation xn+1 = xnf(xn−k), where f : [0,∞)→ (0,∞) is a unimodal function, and k is a nonnegative integer. Sufficient conditions for the positive equilibrium to be a global attractor of all positive solutions are established. Our results can be applied to to some difference equations derived from ma...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1998
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(98)00156-4