| Yazarlar |
Tahir S. Gadjiev
Azerbaijan National Academy of Sciences, Azerbaijan |
Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye |
|
Elman J. Ibragimov
Azerbaijan National Academy of Sciences, Azerbaijan |
| 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 |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
| Dergi Adı | Transactions of A. Razmadze Mathematical Institute |
| Dergi ISSN | 2346-8092 |
| Makale Dili | İngilizce |
| Basım Tarihi | 12-2021 |
| Cilt No | 175 |
| Sayı | 3 |
| Sayfalar | 345 / 353 |
