@Article{Vasilyev2016, author = "Vasilyev, Alexander V. and Vasilyev, Vladimir B.", title = "On solvability of some difference-discrete equations", journal = "Opuscula Math.", year = "2016", volume = "36", number = "4", pages = "525--539", doi = "http://dx.doi.org/10.7494/OpMath.2016.36.4.525", url = "http://dx.doi.org/10.7494/OpMath.2016.36.4.525", abstract = "Multidimensional difference equations in a discrete half-space are considered. Using the theory of periodic Riemann problems a general solution and solvability conditions in discrete Lebesgue spaces are obtained. Some statements of boundary value problems of discrete type are given.", keywords = "multidimensional difference-discrete equation, symbol, factorization, periodic Riemann problem", issn = "1232-9274" }