%0 Journal Article %T On the Anisotropic Wiener-Hopf Operator, Connected with Helmholtze-Sohrodinger Equation %A Matikolai, S. A. H. %A Jafari, H. %A Lotfikar, R. %J Journal of Mathematics and Computer Science %D 2012 %V 4 %N 3 %@ ISSN 2008-949X %F Matikolai2012 %X In this article, solvability of one the anisotropic Helmholtz-Shrodinger equation with the boundary conditions of the first and second type is investigated in the upper and lower half –space, (x5>0, x5<0), in 5 dimensions. Solvability of these boundary problems reduces to solvability of Rieman- Hilbert boundary problem, in general necessary and sufficient conditions for the correctness of the problem in the Sobolev space are presented as well as explicit formulas for a factorization of the Fourier symbol matrix of the one-medium problem. The solvability analysis is based on the factorization problem of some matrix-function. %9 journal article %R 10.22436/jmcs.04.03.03 %U http://dx.doi.org/10.22436/jmcs.04.03.03 %P 301--309