Existence and Stability for Some Partial Functional Differential Equations with Infinite Delay

We study the existence, regularity, and stability of solutions for some partial functional differential equations with infinite delay. We assume that the linear part is not necessarily densely defined and satisfies the HilleYosida condition on a Banach space X. The nonlinear term takes its values in space larger than X, namely the extrapolated Favard class… CONTINUE READING