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

被引：0

作者：

Rubbioni, Paola ^{[1
]}

机构：

[1] Univ Perugia, Dept Math & Comp Sci, Via L Vanvitelli 1, I-06123 Perugia, Italy

来源：

MATHEMATICS | 2024年 / 12卷 / 14期

关键词：

optimal solutions; feedback controls; distributed delay; impulses; integro-differential inclusions; mild solutions; population dynamics; MILD SOLUTIONS; INCLUSIONS;

D O I：

10.3390/math12142293

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：24

共 8 条

[1] The existence of positive periodic solutions of a class of Lotka-Volterra type impulsive systems with infinitely distributed delay
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COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (7-8) : 1037 - 1044
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[6] Positive almost periodic solutions of a class of Lotka-Volterra type competitive system with delays and feedback controls
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[7] Hybrid Functions Direct Approach and State Feedback Optimal Solutions for a Class of Nonlinear Polynomial Time Delay Systems
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[8] A NEW APPROACH FOR SOLVING A NEW CLASS OF NONLINEAR OPTIMAL CONTROL PROBLEMS GENERATED BY ATANGANA-BALEANU-CAPUTO VARIABLE ORDER FRACTIONAL DERIVATIVE AND FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
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