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

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Abstract

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.

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  1. LMPA Laboratory, Department of Mathematics, Faculty of Exact Sciences and Informatic, Mohammed Seddik Benyahia University, Jijel, Algeria

    Fatima Fennour & Soumia Saïdi

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  1. Fatima Fennour
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  2. Soumia Saïdi
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Correspondence to Soumia Saïdi.

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Fennour, F., Saïdi, S. A minimization problem subject to a coupled system by maximal monotone operators. Bol. Soc. Mat. Mex. 29, 78 (2023). https://doi.org/10.1007/s40590-023-00545-9

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