Volume 281, Issue 3 pp. 325-336
Original Paper

Solutions of Volterra integral equations with infinite delay

Daniel Franco

Corresponding Author

Daniel Franco

Departamento de Matemática Aplicada, Universidad Nacional de Educación a Distancia, Apartado de Correos 60149, Madrid, 28080, Spain

Phone: +34 913988134, Fax: +34 913986912Search for more papers by this author
Donal O'Regan

Donal O'Regan

Department of Mathematics, National University of Ireland, Galway, Ireland

Phone: +353 91 493091, Fax: +353 91 750542

Search for more papers by this author
First published: 11 February 2008
Citations: 8

Abstract

We present several new existence results for a Volterra integral equation with infinite delay. We discuss periodic and bounded solutions. Sufficient conditions for the existence of positive periodic solutions are also provided. The techniques we employ have not been used for this equation before. Our results generalize and complement those in the literature and several examples are presented to show their applicability. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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