Asymptotic properties of mild solutions of nonautonomous evolution equations with applications to retarded differential equations (Q5934235)

The authors study the nonautonomous Cauchy problem NEWLINE\[NEWLINE\dot u(t) =Au(t)+ B(t)u(t)+ f(t),\;t\in \mathbb{R},NEWLINE\]NEWLINE for a Hille-Yosida operator \(A\) and relatively bounded operators \(B(t)\). They prove qualitative properties of the solution \(u(\cdot)\) such as periodicity or almost-periodicity. The main applications are made to nonautonomous delay differential equations.