We consider a first order periodic system in $\mathbb R^N$, 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.
Zhenhai LIU
,
Nikolaos S. PAPAGEORGIOU
. PERIODIC SYSTEMS WITH TIME DEPENDENT MAXIMAL MONOTONE OPERATORS[J]. Acta mathematica scientia, Series B, 2024
, 44(4)
: 1280
-1300
.
DOI: 10.1007/s10473-024-0406-6
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