Mathematical modeling

On the spectral problem with the Ionkin–Samarsky condition for an elliptic equation in a cylindrical domain

A. V. Dyuzheva

Samara State Technical University

Abstract: The paper studies the solvability of the spectral nonlocal Ionkin-Samarsky problem for an elliptic equation of the second order. Some properties of eigenvalues are given for elliptic problems with non-local Samarsky-Ionkin conditions. The classical method of separating variables was used for the study.

Keywords: elliptic equation, non-local problem, Ionkin-Samarsky condition, spectral problem, eigenvalues, method of separation of variables

UDC: 517.956.6

DOI: 10.25587/2411-9326-2025-1-109-110