Well-posed solvability of a mixed non-local problem for evolutional equation with involution

Recieved: 10/24/2025

Accepted: 10/28/2025

Keywords: differential equation with involution, mixed problem, Fourier method

To cite this article

Kritskov L.V., Romanova Yu.A. Well-posed solvability of a mixed non-local problem for evolutional equation with involution. // Moscow University Journal. Series 15. Computational Mathematics and Cybernetics. 2026. N 1, p.39-46 https://doi.org/10.55959/MSU/0137–0782–15–2026–50–1–39–46.

This work is licensed under a Сreative Commons Atribiution - NonCommercial 4.0 International (CC BY-NC 4.0)

Kritskov L.V. (Lomonosov Moscow State University (MSU))
Romanova Yu.A. (Lomonosov Moscow State University (MSU))

Abstract

Initial boundary-value problem for the evolutional equation with involution of the space variable and a non-local boundary condition is studied. The uniqueness of the problem’s solution is obtained and classes of initial functions which provide solution’s existence and stability are described.