Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 38769, 13 pages
Robustness of solutions of linear differential equations with infinite delay
Department of Mathematics and Statistics, Mu'tah University, Mu'tah 61710, Jordan
Received 22 November 2004; Revised 28 June 2005; Accepted 4 August 2005
Copyright © 2006 Anwar A. Al-Badarneh (Al-Nayef) and Rabaa K. Maaitah. 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 use some consequences of the concept of semihyperbolicity of
the solution operator to show robustness of solutions of the
linear delay differential equation with infinite delay with respect to a small nonlinear perturbation.