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

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...

Full description

Saved in:
Bibliographic Details
Published inMathematics (Basel) Vol. 12; no. 14; p. 2293
Main Author Rubbioni, Paola
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.07.2024
Subjects
Banach spaces
Control systems
Differential equations
distributed delay
Feedback
feedback controls
impulses
Inclusions
integro-differential inclusions
mild solutions
optimal solutions
Topology
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2227-7390
2227-7390
DOI:10.3390/math12142293