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Discrete Dynamics in Nature and Society
Volume 2015 (2015), Article ID 612156, 6 pages
Research Article

Stability and Convergence of Solutions to Volterra Integral Equations on Time Scales

1Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli “Federico II”, Via Cintia, 80126 Napoli, Italy
2National Research Council of Italy (CNR), Institute for Computational Application Mauro Picone, Via P. Castellino 111, 80131 Naples, Italy

Received 6 April 2015; Accepted 1 June 2015

Academic Editor: Allan C. Peterson

Copyright © 2015 Eleonora Messina and Antonia Vecchio. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider Volterra integral equations on time scales and present our study about the long time behavior of their solutions. We provide sufficient conditions for the stability and investigate the convergence properties when the kernel of the equations vanishes at infinity.