On the best Ulam constant of a higher order linear difference equation

Alina Ramona Baias, Dorian Popa

In a Banach space $X$ the linear difference equation with constant coefficients $x_{n+p}=a_1{x}_{n+p-1}+\dots +a_p{x}_n,$ is Ulam stable if and only if the roots $r_k,$ $1\leq k\l…