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

Autor:	Paola Rubbioni
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	optimal solutions feedback controls distributed delay impulses integro-differential inclusions mild solutions Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 14, p 2293 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12142293
Popis:	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.
Databáze:	Directory of Open Access Journals
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