Asymptotic behavior of delay difference systems
نویسندگان
چکیده
منابع مشابه
A Note on Asymptotic Stability of Delay Difference Systems
This nice result is proved by using the fact that the zero solution of the linear difference equation is asymptotically stable if and only if all the roots of its associated characteristic equation are inside the unit disk. Here, the Schur-Cohn criterion (see [2, 5]) and the Jury criterion (see [3]) are known to be effective tools for determining the asymptotic stability of linear difference sy...
متن کاملAsymptotic behavior of a system of two difference equations of exponential form
In this paper, we study the boundedness and persistence of the solutions, the global stability of the unique positive equilibrium point and the rate of convergence of a solution that converges to the equilibrium $E=(bar{x}, bar{y})$ of the system of two difference equations of exponential form: begin{equation*} x_{n+1}=dfrac{a+e^{-(bx_n+cy_n)}}{d+bx_n+cy_n}, y_{n+1}=dfrac{a+e^{-(by_n+cx_n)}}{d+...
متن کاملAsymptotic Behavior of some Rational Difference Equations
In this difference equation, Stability, Periodicity, boundedness, global Stability. We investigate some qualitative behavior of the solutions of the difference equation
متن کاملAsymptotic Behavior of Linear Evolution Difference System
In this article we give some characterizations of exponential stability for a periodic discrete evolution family of bounded linear operators acting on a Banach space in terms of discrete evolution semigroups, acting on a special space of almost periodic sequences. As a result, a spectral mapping theorem is stated. AMS (MOS) Subject Classification Codes: Primary 35B35.
متن کاملAsymptotic Behavior of Solutions of a Scalar Delay Difference Equations with Continuous Time
Huang, Yu and Dai in [4], [5] presented conditions when every solution of discrete difference equation xn−xn−1 = −F (xn)+F (xn−k) is bounded and tends to a constant, where k ∈ N, F is a continuous, increasing real function. Similar problems for differential equation x′(t) = β(t)[x(t)−x(t− τ(t))], where τ and β are positive continuous real functions, was investigated in papers by Atkinson and Ha...
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: 2001
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(01)00153-5