Delay differential equations

Abstract

In this chapter we study general non-autonomous delay differential equations of the form (Formula Presented) Our intention is to demonstrate how pullback attractors can be used to investigate the behaviour of such models. In particular, following the ideas in the preceding chapters we are able to compare the dynamics of systems of ordinary differential equations with that of the same system with a small delay and show that the associated attractors are upper semicontinuous as the delay tends to zero.