On the Solvability of a Boundary Value Problem for Nonlinear Optimization of Oscillatory Processes

The paper investigates the solvability of a boundary value problem in the control of an oscillatory process described by control in partial derivatives of the first order. It has been established that there are an infinite set of controls, as solutions to the system of nonlinear Fredholm integral equations of the first kind, each of which transfers the controlled process from the initial state to the final specified state in a specified time. Sufficient conditions for the existence of a nonlinear optimization solution are found.

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Publication Name
(dc.title)
On the Solvability of a Boundary Value Problem for Nonlinear Optimization of Oscillatory Processes
Author/s
(dc.contributor.yazarlar)
Elmira F. Abdyldaeva, Gulay M. Kenenbaeva, Akylbek Kerimbekov
Publication type
(dc.type)
Konferans Bildirisi
Language
(dc.language)
İngilizce
Publication year
(dc.date.issued)
2024
National/International
(dc.identifier.ulusaluluslararasi)
Uluslararası
Source
(dc.relation.journal)
AIP Conference Proceedings
Additional source name / Conference information
(dc.identifier.kaynakadiekbilgi)
International Conference on Analysis and Applied Mathematics (ICAAM 2022).- 31 October–6 November 2022.- Antalya, Türkiye
Number
(dc.identifier.issue)
1
Volume/Issue
(dc.identifier.volume)
3085
Page
(dc.identifier.startpage)
Article Number: 020014
ISSN/ISBN
(dc.identifier.issn)
ISBN: 978-0-7354-4836-0; ISSN: 0094-243X
Publisher
(dc.publisher)
AIP Publishing
Databases
(dc.contributor.veritaban)
Web of Science Core Collection
Databases
(dc.contributor.veritaban)
AIP Publishing
Databases
(dc.contributor.veritaban)
Scopus
Index Type
(dc.identifier.index)
CPCI-S
Index Type
(dc.identifier.index)
Scopus
Abstract
(dc.description.abstract)
The paper investigates the solvability of a boundary value problem in the control of an oscillatory process described by control in partial derivatives of the first order. It has been established that there are an infinite set of controls, as solutions to the system of nonlinear Fredholm integral equations of the first kind, each of which transfers the controlled process from the initial state to the final specified state in a specified time. Sufficient conditions for the existence of a nonlinear optimization solution are found.
URL
(dc.rights)
https://pubs.aip.org/aip/acp/article-abstract/301.85.020014/3262967/On-the-solvability-of-a-boundary-value-problem-for
DOI
(dc.identifier.doi)
10.1063/5.0195676
Faculty / Institute
(dc.identifier.fakulte)
Fen Fakültesi
Department
(dc.identifier.bolum)
Matematik Bölümü
Author(s) in the Institution
(dc.contributor.author)
Elmira ABDILDAYEVA
Kayıt No
(dc.identifier.kayitno)
BL82065A83
Record Add Date
(dc.date.available)
2024-03-13
Notes (Publication year)
(dc.identifier.notyayinyili)
February 2024
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