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.
Название публикации (dc.title) | On the Solvability of a Boundary Value Problem for Nonlinear Optimization of Oscillatory Processes |
Автор/ы (dc.contributor.yazarlar) | Elmira F. Abdyldaeva, Gulay M. Kenenbaeva, Akylbek Kerimbekov |
Вид публикации (dc.type) | Konferans Bildirisi |
Язык (dc.language) | İngilizce |
Год публикации (dc.date.issued) | 2024 |
Национальный/Международный (dc.identifier.ulusaluluslararasi) | Uluslararası |
Источник (dc.relation.journal) | AIP Conference Proceedings |
Дополнительная названия источника / Информация конференции (dc.identifier.kaynakadiekbilgi) | International Conference on Analysis and Applied Mathematics (ICAAM 2022).- 31 October–6 November 2022.- Antalya, Türkiye |
Номер (dc.identifier.issue) | 1 |
Том/№ (dc.identifier.volume) | 3085 |
Страница (dc.identifier.startpage) | Article Number: 020014 |
ISSN/ISBN (dc.identifier.issn) | ISBN: 978-0-7354-4836-0; ISSN: 0094-243X |
Издатель (dc.publisher) | AIP Publishing |
Базы данных (dc.contributor.veritaban) | Web of Science Core Collection |
Базы данных (dc.contributor.veritaban) | AIP Publishing |
Базы данных (dc.contributor.veritaban) | Scopus |
Вид индекса (dc.identifier.index) | CPCI-S |
Вид индекса (dc.identifier.index) | Scopus |
Резюме (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 |
Факультет / Институт (dc.identifier.fakulte) | Fen Fakültesi |
Кафедра (dc.identifier.bolum) | Matematik Bölümü |
Автор(ы) в учреждении (dc.contributor.author) | Elmira ABDILDAYEVA |
№ регистрации (dc.identifier.kayitno) | BL82065A83 |
Дата регистрации (dc.date.available) | 2024-03-13 |
Заметка (Год публикации) (dc.identifier.notyayinyili) | February 2024 |