ABSTRACT

This chapter is concerned with the quasi-autonomous case, i.e., the case in which f also depends on t. So, let us consider the delay evolution equation subjected to a nonlocal initial condition{

u′(t) ∈ Au(t) + f(t, ut), t ∈ R+, u(t) = g(u)(t), t ∈ [−τ, 0 ].