In the paper, the solvability of the nonlinear boundary optimization problem has been investigated for the oscillation processes, described by the integro-differential equation in partial derivatives with Fredholm integral operator. It has been established that the components of the boundary vector control are defined as a solution to a system of nonlinear integral equations of a specific form, and the equations of this system have the property of equal relations. An algorithm for constructing a solution to the problem of nonlinear optimization has been developed.
Keywords: general solution; nonlinear optimization; boundary vector control; functional; optimal conditions; property of equal relations
Название публикации (dc.title) | On the solvability of a nonlinear optimization problem with boundary vector control of oscillatory processes = О разрешимости задачи нелинейной оптимизации при граничном векторном управлении колебательными процессами = Тербелмелi процестердi шекаралық векторлық басқарумен сызықтыемес оңтайландыру есебiнiң шешiмi туралы |
Автор/ы (dc.contributor.yazarlar) | E.F. Abdyldaeva, A.K. Kerimbekov, M.T. Zhaparov |
Вид публикации (dc.type) | Makale |
Язык (dc.language) | İngilizce |
Год публикации (dc.date.issued) | 2023 |
Национальный/Международный (dc.identifier.ulusaluluslararasi) | Uluslararası |
Источник (dc.relation.journal) | Bulletin of the Karaganda University - Mathematics / Вестник Карагандинского университета. Серия Математика |
Номер (dc.identifier.issue) | 1 |
Том/№ (dc.identifier.volume) | 109 |
Страница (dc.identifier.startpage) | 5-13 |
ISSN/ISBN (dc.identifier.issn) | ISSN: 2518-7929; Online ISSN: 2663–5011 |
Издатель (dc.publisher) | Academician Ye.A. Buketov Karaganda State University |
Базы данных (dc.contributor.veritaban) | Web of Science Core Collection |
Базы данных (dc.contributor.veritaban) | Kaynak web sitesi |
Базы данных (dc.contributor.veritaban) | Scopus |
Вид индекса (dc.identifier.index) | ESCI |
Вид индекса (dc.identifier.index) | Scopus |
Импакт-фактор (dc.identifier.etkifaktoru) | 0,6 / 2022-WOS / Son 5 yıl: 0,4 |
Резюме (dc.description.abstract) | In the paper, the solvability of the nonlinear boundary optimization problem has been investigated for the oscillation processes, described by the integro-differential equation in partial derivatives with Fredholm integral operator. It has been established that the components of the boundary vector control are defined as a solution to a system of nonlinear integral equations of a specific form, and the equations of this system have the property of equal relations. An algorithm for constructing a solution to the problem of nonlinear optimization has been developed. |
Резюме (dc.description.abstract) | Keywords: general solution; nonlinear optimization; boundary vector control; functional; optimal conditions; property of equal relations |
URL (dc.rights) | https://mathematics-vestnik.ksu.kz/apart/2023-109-1/02.pdf |
DOI (dc.identifier.doi) | 10.31489/2023M1/5-13 |
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) | BLBA822BF5 |
Дата регистрации (dc.date.available) | 2023-05-06 |
Заметка (Год публикации) (dc.identifier.notyayinyili) | 2023 |
Wos No (dc.identifier.wos) | WOS:000962373900002 |
Тематический рубрикатор (dc.subject) | general solution |
Тематический рубрикатор (dc.subject) | nonlinear optimization |
Тематический рубрикатор (dc.subject) | boundary vector control |
Тематический рубрикатор (dc.subject) | functional |
Тематический рубрикатор (dc.subject) | optimal conditions |
Тематический рубрикатор (dc.subject) | property of equal relations |