Using the notion of summable dichotomy in ordinary difference equations and the contraction and Schauder fixed point theorem, we obtain the existence of bounded and periodic solutions on ℤ under quite general hypotheses ...

By using weighted summable dichotomies and Schauder's fixed point theorem, we prove the existence of convergent solutions of linear functional difference equations. We apply our result to Volterra difference equations with ...

Using a "summable" dichotomy and fixed-point theorems, we prove the existence of convergent and bounded solutions of nonlinear difference systems. © 1998 Elsevier Science Ltd. All rights reserved.