On a general discrete boundary value problem

Vladimir Vasilyev; Alexander Vasilyev; Anastasia Mashinets

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arXiv · 2304.03926

On a general discrete boundary value problem

Vladimir Vasilyev·Alexander Vasilyev·Anastasia Mashinets

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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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Vladimir Vasilyev, Alexander Vasilyev, Anastasia Mashinets. 2023-04-08. On a general discrete boundary value problem. https://arxiv.org/abs/2304.03926

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