3 papers
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.AP2015
The factorization technique for difference equations
Alexander Vasilyev, Vladimir Vasilyev
We study multidimensional difference equations with a continual variable in the Sobolev--Slobodetskii spaces. Using ideas and methods of the theory of boundary value problems for e…
math.AP2014
Discrete singular integrals in a half-space
Alexander V. Vasilyev, Vladimir B. Vasilyev
We consider Calderon -- Zygmund singular integral in the discrete half-space , where is entire lattice () in , and prove that the discre…