ABSTRACT
We survey recent results on the asymptotics of linear systems of difference equations. The gap between Poincaré’s Theorem and the discrete analog of Levinson’s Theorem is significantly narrowed. Applications to the asymptotics of certain orthogonal polynomials and to the stability of some numerical methods for Volterra integral equations are provided.
AMS Subject Classification: 39A10, 33D45, 05A16, 11A55
