首页|PERIODIC SYSTEMS WITH TIME DEPENDENT MAXIMAL MONOTONE OPERATORS

PERIODIC SYSTEMS WITH TIME DEPENDENT MAXIMAL MONOTONE OPERATORS

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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 perturba-tion.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.

periodic boundary conditiontime-dependent maximal monotone operatorconvex and nonconvex problemsextremal solutionsstrong relaxation

刘振海、Nikolaos S.PAPAGEORGIOU

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Center for Applied Mathematics of Guangxi,Yulin Normal University,Yulin 537000,China

Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation,College of Mathematics and Physics,Guangxi Minzu University,Nanning 530006,China

Department of Mathematics,National Technical University,Zografou Campus,15780 Athens,Greece

NSFCGuangxi Natural science FoundationEuropean Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie

120714132023GXNSFAA026085823731 CONMECH

2024

10.1007/s10473-024-0406-6

数学物理学报(英文版)
中科院武汉物理与数学研究所

数学物理学报(英文版)

CSTPCD
影响因子：0.256
ISSN：0252-9602
年,卷(期)：2024.44(4)