On discrete boundary value problems with nonlocal conditions in a quarter-plane

02/28/2023

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by   Vladimir Vasilyev, et al.

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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 wave factorization for elliptic periodic symbol we describe solvability conditions for the equations and corresponding discrete boundary value problems. We give also a comparison between discrete and continuous solutions in appropriate discrete normed spaces.