Second-order problems involving time-dependent subdifferential operators and application to control | Zendy

Soumia Saïdi | Zendy; Fatima Fennour | Zendy

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Second-order problems involving time-dependent subdifferential operators and application to control

Author(s) -

Soumia Saïdi,

Fatima Fennour

Publication year - 2022

Publication title -

mathematical control and related fields

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.658

H-Index - 21

eISSN - 2156-8472

pISSN - 2156-8499

DOI - 10.3934/mcrf.2022019

Subject(s) - subderivative , mathematics , differential inclusion , order (exchange) , relaxation (psychology) , set (abstract data type) , first order , control (management) , mathematical analysis , mathematical optimization , pure mathematics , computer science , regular polygon , convex optimization , geometry , psychology , social psychology , finance , economics , programming language , artificial intelligence

The paper provides a new result concerning the existence of solutions for second-order evolution problems associated with time-dependent subdifferential operators involving both single-valued and mixed semi-continuous set-valued perturbations. Optimal control problems corresponding to such differential inclusions using relaxation theorems with Young measures are investigated. The existence of solutions for a coupled system governed by a second-order differential equation with an evolution problem is also addressed.

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