 
  
  
		| 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 | 
| 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 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 No | 175 | 
| Sayı | 3 | 
| Sayfalar | 345 / 353 |