A. I. Kozhanov, D. S. Khromchenko, “Generalized Samarskii–Ionkin’s problem for the composite type differential equation with degenerating operator in higher part”, Mathematical notes of NEFU, 2024, Volume 31, Issue 4,Pages <nobr>35

Mathematics

Generalized Samarskii–Ionkin’s problem for the composite type differential equation with degenerating operator in higher part

A. I. Kozhanov^a, D. S. Khromchenko^b

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

Abstract: We study the problems similar to the known Samarskii–Ionkin’s problem for the composite type differential equation with degenerating operator of heat conduction in higher part. In this work we prove existence and uniqueness of regular solutions for such problems.

Keywords: composite type differential equation, nonlocal problem, generalized Samarskii–Ionkin condition, regular solution, existence, uniqueness

UDC: 517.95

Received: 29.07.2024
Accepted: 06.12.2024

DOI: 10.25587/2411-9326-2024-4-35-48