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Optimal Solutions for a Class of Impulsive Differential Problems with Feedback Controls and Volterra-Type Distributed Delay: A Topological Approach

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  • Paola Rubbioni

    (Department of Mathematics and Computer Science, University of Perugia, via L. Vanvitelli 1, 06123 Perugia, Italy)

Abstract

In this paper, the existence of optimal solutions for problems governed by differential equations involving feedback controls is established for when the problem must account for a Volterra-type distributed delay and is subject to the action of impulsive external forces. The problem is reformulated within the class of impulsive semilinear integro-differential inclusions in Banach spaces and is studied by using topological methods and multivalued analysis. The paper concludes with an application to a population dynamics model.

Suggested Citation

  • Paola Rubbioni, 2024. "Optimal Solutions for a Class of Impulsive Differential Problems with Feedback Controls and Volterra-Type Distributed Delay: A Topological Approach," Mathematics, MDPI, vol. 12(14), pages 1-24, July.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:14:p:2293-:d:1440430
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    References listed on IDEAS

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    1. Araújo, Rawlilson O. & Marinho, Sheyla S. & Prates Filho, Julio S., 2020. "Uniform stability of a non-autonomous semilinear Bresse system with memory," Applied Mathematics and Computation, Elsevier, vol. 387(C).
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