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JOURNALS // Mathematical notes of NEFU // Archive

Mathematical notes of NEFU, 2024, Volume 31, Issue 1, Pages 49–56 (Mi svfu406)

Mathematics

On solvability of nonlocal problems with Ionkin conditions for partial differential equations. II

A. I. Kozhanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: Considering the differential equations of any order with variable coefficients, we study the solvability of nonlocal boundary value problems with the Ionkin classical condition in Sobolev spaces. We prove the unique existence of regular solutions, i.e., those that enter the equations with all weak derivatives.

Keywords: differential equations, variable coefficients, nonlocal problems, Ionkin conditions, regular solutions, existence, uniqueness

UDC: 517.95

Received: 10.01.2024
Accepted: 29.02.2024

DOI: 10.25587/2411-9326-2024-1-48-55



© Steklov Math. Inst. of RAS, 2026