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

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

Mathematics, 2024, vol. 12, issue 14, 1-24

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.

Keywords: optimal solutions; feedback controls; distributed delay; impulses; integro-differential inclusions; mild solutions; population dynamics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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