Optimal Solutions for a Class of Impulsive Differential Problems with Feedback Controls and Volterra-Type Distributed Delay: A Topological Approach-Reference-Cited by-同舟云学术

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

Published:2024-07-22 Issue:14 Volume:12 Page:2293
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Rubbioni Paola¹^ORCID

Affiliation:

1. 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.

Funder

Research project of MUR (Ministry of University and Research, Italy) PRIN 2022 “Nonlinear differential problems with applications to real phenomena”

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/14/2293/pdf

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