Opuscula Math. 36, no. 4 (2016), 525-539
On solvability of some difference-discrete equations
Alexander V. Vasilyev
Vladimir B. Vasilyev
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.
Mathematics Subject Classification: 39A14, 42B05.