Boundary value problems with the Samarsky–Ionkin condition for differential equations with multiple characteristics in a noncylindrical domain
https://doi.org/10.25587/2411-9326-2025-4-31-43
Abstract
We study the solvability of nonlocal problems for third-order differential equations with multiple characteristics. A feature of the studied problems is that the domain of the corresponding equation is a curvilinear trapezoid. We prove the existence and uniqueness theorems for the regular solutions, those having all generalized Sobolev derivatives, required in the equation, in the inner sub domains.
About the Authors
G. A. Varlamova
Ammosov North-Eastern Federal University, Mirny Polytechnic Institute
Russian Federation
Russian Federation
Galina A. Varlamova
5/1 Tikhonov Street, Mirny 678175
A. I. Kozhanov
Sobolev Institute of Mathematics
Russian Federation
Russian Federation
Alexandr I. Kozhanov
4 Koptyug Avenue, Novosibirsk 630090
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Review
For citations:
Varlamova G.A., Kozhanov A.I. Boundary value problems with the Samarsky–Ionkin condition for differential equations with multiple characteristics in a noncylindrical domain. Mathematical notes of NEFU. 2025;32(4):31-43. (In Russ.) https://doi.org/10.25587/2411-9326-2025-4-31-43
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