Resumen de About the behavior of solutions for Volterra difference equations with infinite delay

Airton Castro, Claudio Cuevas, Filipe Dantas, Herme Soto

• We study the existence of discrete almost automorphic solutions and asymptotic behavior for non-linear Volterra difference equations of convolution type with infinite delay where the nonlinear perturbation is considered not necessarily globally Lipschitz. The results are a consequence of application of different fixed point theorems, namely, the contraction principle, the Leray�Schauder, the Krasnoselkii and Matkowski�s fixed point technique.