A well-posedness result for a class of linear difference equations (Q1585534)

The authors prove the existence and uniqueness of solutions for a class of linear difference equations in the space of real sequences \((v)_{r \in\mathbb{N}_0}\) satisfying \(\sup_{r\in \mathbb{N}_0}r! |v_r|<\infty\). Such result is obtained as an application of recent results on the well-posedness of the Cauchy problem for ordinary differential equations.