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Control problem governed by an iterative differential inclusion

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Abstract

In this paper, we study the existence and uniqueness of solution for a perturbed first-order iterative differential inclusion governed by a maximal monotone operator. This result allows us to extend to Bolza-type relaxation property of an optimal control problem associated with such equations where the controls are Young measures.

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Acknowledgements

Research supported by the General direction of scientific research and technological development (DGRSDT) under project PRFU No. C00L03UN180120220006.

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  1. LMPA Laboratory, Department of Mathematics, Jijel University, Jijel, Algeria

    Samia Ghalia & Doria Affane

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  1. Samia Ghalia
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Correspondence to Doria Affane.

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Ghalia, S., Affane, D. Control problem governed by an iterative differential inclusion. Rend. Circ. Mat. Palermo, II. Ser 72, 2621–2642 (2023). https://doi.org/10.1007/s12215-022-00819-7

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