Abstract
In this paper we study the stability of the zero solution of difference equations with variable delays. In particular we consider the scalar delay equation
Highlights
Let R denote the real numbers, R+ = [0, ∞), Z the integers, Z− the negative integers, and Z+ = {x ∈ Z | x ≥ 0}
In this paper we study the asymptotic stability of the zero solution of the scalar delay equation
In [11], Raffoul studied the stability of the zero solution of (1.1) when τ (n) = r
Summary
In this paper we study the asymptotic stability of the zero solution of the scalar delay equation In [11], Raffoul studied the stability of the zero solution of (1.1) when τ (n) = r. For more on stability using fixed point theory we refer to [1],[7],[9],[11],[12] and for basic results on difference calculus we refer to [2] and [8]. We refer to [3],[4],[5],[6] and [10] for other results on stability for difference equations.
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