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We consider discrete analogue of model pseudo-differential equations indiscrete plane sector using discrete variant of Sobolev--Slobodetskii spaces.Starting from the concept of wave factorization for elliptic periodic symbol wedescribe solvability conditions for the equations and corresponding discreteboundary value problems. We give also a comparison between discrete andcontinuous solutions in appropriate discrete normed spaces.

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