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
Yayın Adı (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 |
Yazar/lar (dc.contributor.yazarlar) | E.F. Abdyldaeva, A.K. Kerimbekov, M.T. Zhaparov |
Yayın Türü (dc.type) | Makale |
Dil (dc.language) | İngilizce |
Yayımlanma Yılı (dc.date.issued) | 2023 |
Ulusal/Uluslararası (dc.identifier.ulusaluluslararasi) | Uluslararası |
Kaynak (dc.relation.journal) | Bulletin of the Karaganda University - Mathematics / Вестник Карагандинского университета. Серия Математика |
Süreli Sayı (dc.identifier.issue) | 1 |
Cilt/Sayı (dc.identifier.volume) | 109 |
Sayfa (dc.identifier.startpage) | 5-13 |
ISSN/ISBN (dc.identifier.issn) | ISSN: 2518-7929; Online ISSN: 2663–5011 |
Yayıncı (dc.publisher) | Academician Ye.A. Buketov Karaganda State University |
Veri Tabanları (dc.contributor.veritaban) | Web of Science Core Collection |
Veri Tabanları (dc.contributor.veritaban) | Kaynak web sitesi |
Veri Tabanları (dc.contributor.veritaban) | Scopus |
İndex Türü (dc.identifier.index) | ESCI |
İndex Türü (dc.identifier.index) | Scopus |
Etki Faktörü (dc.identifier.etkifaktoru) | 0,6 / 2022-WOS / Son 5 yıl: 0,4 |
Özet (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. |
Özet (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 |
Fakültesi / Enstitütü (dc.identifier.fakulte) | Fen Fakültesi |
Bölümü (dc.identifier.bolum) | Matematik Bölümü |
Kurumdaki Yazar/lar (dc.contributor.author) | Elmira ABDILDAYEVA |
Kayıt No (dc.identifier.kayitno) | BLBA822BF5 |
Kayıt Giriş Tarihi (dc.date.available) | 2023-05-06 |
Not (Yayımlanma Yılı) (dc.identifier.notyayinyili) | 2023 |
Wos No (dc.identifier.wos) | WOS:000962373900002 |
Konu Başlıkları (dc.subject) | general solution |
Konu Başlıkları (dc.subject) | nonlinear optimization |
Konu Başlıkları (dc.subject) | boundary vector control |
Konu Başlıkları (dc.subject) | functional |
Konu Başlıkları (dc.subject) | optimal conditions |
Konu Başlıkları (dc.subject) | property of equal relations |