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An Explicit Formula for Solutions of Some System of Linear Delay Difference Equations
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Published/Copyright:
June 7, 2010
Abstract
The aim of this paper is to provide an explicit formula for solutions of the following system of delay difference equations
Fn+1 = AnFn + BnFγn + ƒn, n ∈ ℕ,
where γn = kαn, αn = [n/k] (the symbol [x] stands for entire part of the real number x and k is a fixed positive integer). (An), (Bn), n ∈ ℕ, are sequences of square matrices of order m, (ƒn) is a sequence of vectors from 
. From this formula conditions for the stability and asymptotic stability of solutions are derived.
Key words and phrases.: Difference equations; asymptotic theory
Received: 2001-04-27
Published Online: 2010-06-07
Published in Print: 2002-June
© Heldermann Verlag
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Articles in the same Issue
- The Infinite Dimensional Henstock Integral and Problems of Black-Scholes Expectation
- An Explicit Formula for Solutions of Some System of Linear Delay Difference Equations
- Existence and Controllability Results for Nonlinear Differential Inclusions with Nonlocal Conditions in Banach Spaces
- Results on Singular Distribution Products of Mikusiński Type
- A Quasistatic Contact Problem with Slip Dependent Coefficient of Friction for Elastic Materials
- Linear Fredholm Integral Equations and the Integral of Kurzweil
- On Trigonometric-Like Decompositions of Functions with Respect to the Cyclic Group of Order n
- The Existence and Uniqueness of Solution of One Coupled Plate Thermomechanics Problem
- On the Stationary Flow of the Power Law Fluid in 2D
