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On a general discrete boundary value problem for an elliptic pseudo-differential equation in a quadrant

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Abstract

We study a general discrete boundary value problem in Sobolev–Slobodetskii spaces in a plane quadrant and reduce it to a system of integral equations. We show a solvability of the system for a small size of discreteness starting from a solvability of its continuous analogue.

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Authors and Affiliations

  1. Chair of Applied Mathematics and Computer Modeling, Belgorod State National Research University, Pobedy street 85, Belgorod, Russia, 308015

    Vladimir Vasilyev, Alexander Vasilyev & Anastasia Mashinets

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  1. Vladimir Vasilyev
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  2. Alexander Vasilyev
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  3. Anastasia Mashinets
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All authors contributed equally to this work.

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Correspondence to Vladimir Vasilyev.

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Vasilyev, V., Vasilyev, A. & Mashinets, A. On a general discrete boundary value problem for an elliptic pseudo-differential equation in a quadrant. Bol. Soc. Mat. Mex. 29, 53 (2023). https://doi.org/10.1007/s40590-023-00527-x

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  • DOI: https://doi.org/10.1007/s40590-023-00527-x

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