In this paper we investigate the stability of the equilibrium solution of the νth order linear system of difference equations Δ ν a+ν−1 y (t) = Λy(t + ν − 1); t ∈ N a , a ∈ R, and Λ ∈ R p×p , subject to the initial conditionwhere 0 < ν ≤ 1 and y −1 ∈ R p .
In this research, we investigate Gauss compounding of time-variant (nonautonomous) symmetric weighted arithmetic means. We establish the existence of the compounded mean under an easy-to-apply criterion. Also, we investigate the properties that are enjoyed by the compounded mean.
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