On the perturbation of the kernel for delay systems with continuous kernels

Abstract

In this paper we investigate upper semicontinuity of attractors for delay equations where the delay depends on a parameter. We are especially interested in delay equations with continuous memory functions. We interpret the results of Hines[l2] in this context, giving conditions on the memory functions under which we have upper semicontinuity. We then present some examples from the literature where we use these results to prove that attractors are upper semicontinuous.

Keywords:

• delay-equations
• attracton
• upper semicontinuity