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Invariant Closed Sets with Respect to Differential Inclusions with Time-Dependent Maximal Monotone Operators

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Abstract

The main purpose of the present paper is the characterization, in the finite dimensional setting, of weak and strong invariance of closed sets with respect to a differential inclusion governed by time-dependent maximal monotone operators and multi-valued perturbation, by the use of the corresponding Hamiltonians.

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Authors and Affiliations

  1. Laboratoire LAOTI, FSEI, Université Mohammed Seddik Benyahia, Jijel, B.P. 98, 18000, Jijel, Algérie

    Dalila Azzam-Laouir & Karima Dib

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  1. Dalila Azzam-Laouir
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  2. Karima Dib
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Correspondence to Dalila Azzam-Laouir.

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Azzam-Laouir, D., Dib, K. Invariant Closed Sets with Respect to Differential Inclusions with Time-Dependent Maximal Monotone Operators. Set-Valued Var. Anal 32, 7 (2024). https://doi.org/10.1007/s11228-024-00711-9

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