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.
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 |