Abstract:
The aim of this thesis is to study a class of differential equations with infinite delay
which we call delay equations with nonautonomous past. The motivation for these equations
is that in general the previous delay equations are lacking an important feature frequently
appearing in reality. In fact, as we show in Chapter 1 for a population equation and for a
model on genetic repression, the history function describing a given system will be submitted
to a modification, e.g., by a diffusion process, while time is passing.
Therefore, the delay should act on this modified history function.