AN INITIAL-BOUNDARY VALUE PROBLEM FOR SYSTEMS OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH A DIFFERENTIAL OPERATOR OF GEGENBAUER TYPE
Yazarlar (3)
Tahir S. Gadjiev
Azerbaijan National Academy Of Sciences, Azerbaycan
Prof. Dr. Vagıf GULIYEV
Baku State University, Azerbaycan
Elman J. Ibragimov
Azerbaijan National Academy Of Sciences, Azerbaycan
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Transactions of A Razmadze Mathematical Institute | ||
| Dergi ISSN | 2346-8092 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 12-2021 |
| Cilt / Sayı / Sayfa | 175 / 3 / 345–353 | DOI | – |
| Özet |
| This article discusses the initial boundary value problem for the systems of linear parabolic equations. The system is written in a matrix form. Its elements are polynomials with the Gegenbauer operator having the same order. The class of functions is located in which a way that the problem under consideration is correct, i.e., there is only a unique solution that depends on the initial function. Explicit formulas for solving the problem are given, while the method of generalized functions is developed by Gelfand and Shilov. |
| Anahtar Kelimeler |
| Gegenbauer transforms | Initial boundary value problem | System of parabolic equations with the Gegenbauer operator | The existence and uniqueness of the solution change |
