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On Discrete Boundary-Value Problems and Their Approximation Properties

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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.

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Authors and Affiliations

  1. Belgorod State National Research University, Belgorod, Russia

    V. B. Vasilyev & O. A. Tarasova

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  1. V. B. Vasilyev
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  2. O. A. Tarasova
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Correspondence to V. B. Vasilyev.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 174, Geometry and Mechanics, 2020.

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Vasilyev, V.B., Tarasova, O.A. On Discrete Boundary-Value Problems and Their Approximation Properties. J Math Sci 272, 634–641 (2023). https://doi.org/10.1007/s10958-023-06460-8

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  • DOI: https://doi.org/10.1007/s10958-023-06460-8

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