The paper proves the theorem of the existence and uniqueness of the solution of the problem in Sobolev classes. The solution of the problem under consideration is constructed as the sum of a series according to the system of eigenfunctions of a multidimensional spectral problem.
| Mualliflar | Реймбаева, Д.К. |
|---|---|
| Jurnal | Ilim ha’m ja’miyet |
| Nashr sanasi | 2024-12-23 |
| Son | 6-1 |
| Betlar | 17-21 |
| Til | Rus |
юқори тартибли хусусий ҳосилали дифференциал тенгламалар, бошланғич чегаравий масаласи, вақт бўйича каср ҳосиласи, хос қийматлар, хос функциялар, тўлиқлик, спектрал усул, мавжудлик, ягоналик, қаторлар, дифференциальные уравнения в частных производных высокого порядка, начально-граничная задача, дробная производная по времени, собственные значения, собственные функции, полнота, спектральный метод, существование, единственность, ряды, high-order partial differential equation, initial-boundary value problem, fractional time derivative, eigenvalues, eigenfunctions, completeness, spectral method, existence, uniqueness, series
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