Global stability for nonlinear difference equations with variable coefficients
نویسندگان
چکیده
منابع مشابه
Global stability for nonlinear difference equations with variable coefficients
Note that for f(x) = e − 1, (1.1) becomes a logistic equation with piecewise constant arguments. Definition 1.1 The zero solution of (1.1) is said to be uniformly stable, if for any ε > 0 and nonnegative integer n0, there is a δ = δ(ε) > 0 such that max{|x(n0 − j)| | j = −k,−k + 1, · · · , 0} < δ, implies that the solution {x(n)}n=0 of (1.1) satisfies |x(n)| < ε, n = n0, n0 + 1, · · · . Definit...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.12.028