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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2020 Volume 174, Pages 12–19 (Mi into564)
This article is cited in 3 papers

On discrete boundary-value problems and their approximation properties

V. B. Vasilev (Vasilyev), O. A. Tarasova

National Research University "Belgorod State University"

Abstract: Discrete analogs of pseudo-differential operators and equations in discrete Sobolev–Slobodetsky spaces are considered. Using suitable discrete boundary conditions, we prove the unique solvability of the discrete boundary-value problem.

Keywords: discrete pseudo-differential operator, discrete boundary-value problem, solvability, approximation, periodic factorization, error estimate.

UDC: 517.954, 517.983.5

MSC: 35S15, 65N06

DOI: 10.36535/0233-6723-2020-174-12-19



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© Steklov Math. Inst. of RAS, 2024