Periodic systems with time dependent maximal monotone operators
摘要
We consider a first order periodic system in ℝN, involving a time dependent maximal monotone operator which need not have a full domain and a multivalued perturbation. We prove the existence theorems for both the convex and nonconvex problems. We also show the existence of extremal periodic solutions and provide a strong relaxation theorem. Finally, we provide an application to nonlinear periodic control systems.