Journal of Applied Mathematics
Volume 2012 (2012), Article ID 804509, 10 pages
http://dx.doi.org/10.1155/2012/804509
Research Article

Asymptotic Stability of Differential Equations with Infinite Delay

D. Piriadarshani1 and T. Sengadir2

1Department of Mathematics, Hindustan Institute of Technology and Science, Rajiv Gandhi Salai, Kelambakkam, Chennai 603 103, India
2Department of Mathematics, Central University of Tamil Nadu, Thiruvarur 610 004, India

Received 3 January 2012; Accepted 5 April 2012

Academic Editor: Mehmet Sezer

Copyright © 2012 D. Piriadarshani and T. Sengadir. 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.

Abstract

A theorem on asymptotic stability is obtained for a differential equation with an infinite delay in a function space which is suitable for the numerical computation of the solution to the infinite delay equation.