A minimization problem subject to a coupled system by maximal monotone operators

We study in the current paper an optimization problem subject to a controlled system with maximal monotone operators and integral perturbation, in Hilbert spaces. First, we establish a new existence and uniqueness theorem for a coupled system by two first-order differential inclusions governed by ma...

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Bibliographic Details
Published inBoletín de la Sociedad Matemática Mexicana Vol. 29; no. 3
Main Authors Fennour, Fatima, Saïdi, Soumia
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.11.2023
Springer Nature B.V
Subjects
Existence theorems
Hilbert space
Inclusions
Mathematics
Mathematics and Statistics
Operators (mathematics)
Optimization
Original Article
Perturbation
Uniqueness theorems
Coupled system
49J53
Integral perturbation
49J52
Optimal solution
Maximal monotone operator
Differential inclusion
34A60
34G25
47J35
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Summary:We study in the current paper an optimization problem subject to a controlled system with maximal monotone operators and integral perturbation, in Hilbert spaces. First, we establish a new existence and uniqueness theorem for a coupled system by two first-order differential inclusions governed by maximal monotone operators and single-valued perturbations. Then, we minimize an integral functional over the controls acting in the state of the operators into the coupled system under consideration.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-023-00545-9