Single-valued solvability of the direct problem for one mixed integro-differential equation

Sh. B. Merajova

Bukhara State University, 11 M. Iqbol str., Bukhara, 200100 Republic of Uzbekistan

Abstract: In this paper, a boundary value problem for a mixed integro-differential equation is considered. The unique solvability of the posed problem is proved. The proof is based on the spectral method.

Keywords: mixed type equation, integro-differential equation, boundary value problem, mixed integro-differential equation, direct problem, spectral method, eigenvalue, eigenfunction.

UDC: 517.984

Received: 10.04.2024
Revised: 10.04.2024
Accepted: 26.06.2024

DOI: 10.26907/0021-3446-2025-7-64-71