PERIODIC SYSTEMS WITH TIME DEPENDENT MAXIMAL MONOTONE OPERATORS  

作　　者：Zhenhai LIU Nikolaos S.PAPAGEORGIOU 刘振海(Center for Applied Mathematics of Guangri,Yulin Normal University,Yulin 537000,China;Guangri Key Laboratory of Universities Optimization Control and Engineering Calculation,College of Mathematics and Physics,Guangri Minzu University,Nanning 530006,China)

机构地区：[1]Center for Applied Mathematics of Guangri,Yulin Normal University,Yulin 537000,China [2]Guangri Key Laboratory of Universities Optimization Control and Engineering Calculation,College of Mathematics and Physics,Guangri Minzu University,Nanning 530006,China [3]Department of Mathematics,National Technical University,Zografou Campus,15780 Athens,Greece

出　　处：《Acta Mathematica Scientia》2024年第4期1280-1300,共21页数学物理学报（B辑英文版）

基　　金：supported by the NSFC(12071413);the Guangxi Natural Sci-ence Foundation(2023GXNSFAA026085);the European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No.823731 CONMECH。

摘　　要：We consider a first order periodic system in 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.

关 键 词：periodic boundary condition time-dependent maximal monotone operator convex and nonconvex problems extremal solutions strong relaxation 

分 类 号：O177[理学—数学]