In this paper we investigate the stability of the equilibrium solution of the νth order linear system of difference equations (Δ a+ν-1ν y)(t) = Λ y(t + ν - 1);t ∈ ℕa,a ∈ ℝ, and Λ ∈ ℝ p × p, subject to the initial condition y(a + ν - 1) = y - 1, where 0 < ν < 1 and y-1 ∈ ℝp .
- Volterra difference equations
- asymptotic stability
- fractional-order difference equations
- special functions
ASJC Scopus subject areas
- Applied Mathematics