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

Castro A.; Cuevas, C; Dantas, F; Soto, H

Abstract

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. (C) 2013 Elsevier B.V. All rights reserved.

Más información

Título según WOS: About the behavior of solutions for Volterra difference equations with infinite delay
Título de la Revista: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volumen: 255
Editorial: ELSEVIER SCIENCE BV
Fecha de publicación: 2014
Página de inicio: 44
Página final: 59
Idioma: English
URL: http://linkinghub.elsevier.com/retrieve/pii/S0377042713002197
DOI:

10.1016/j.cam.2013.04.033

Notas: ISI