Site logo

NONLOCAL PROBLEM FOR A MIXED TYPE DIFFERENTIAL EQUATION IN RECTANGULAR DOMAIN

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

In the article the questions of solvability and construction of the solution of nonlocal mixed value problem for a homogeneous mixed type differential equation are considered. The spectral method based on the separation of variables is used. A criterion for a single-valued solvability of the considered problem is installed. Under this criterion the single-valued solvability of the problem is proved. The existence of problem solutions in the case of uniqueness failure is studied, also.

Subscribe to TheGufo Newsletter​