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math.AP2023
On a general discrete boundary value problem
Vladimir Vasilyev, Alexander Vasilyev, Anastasia Mashinets
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…
math.AP2023
On discrete boundary value problems with nonlocal conditions in a quarter-plane
Vladimir Vasilyev, Anastasia Mashinets
We consider discrete analogue of model pseudo-differential equations in discrete plane sector using discrete variant of Sobolev--Slobodetskii spaces. Starting from the concept of w…