New Results on Periodic Solutions to Impulsive Nonautonomous Evolutionary Equations with Time Delays

Resumo

We obtain new results on periodic solutions for a class of nonautonomous impulsive evolutionary equations with time delays. Under suitable assumptions, such as the ultimate boundedness of the solutions of equations, we establish a theorem on periodic solutions to equations of this kind by using the Horn fixed-point theorem. At the end of the paper, we present an application to the case of nonautonomous impulsive partial differential equation with finite time delay.