Geodesic
On an anisotropic boundary problem of diffraction with first and second type boundary conditions
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2010), pp. 12-15.

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In the present paper solvability of a class of boundary problems associated with the anisotropic Helmholtz-Shrodinger equation in the upper and lower semiplanes of Sobolev spaces is studied. The first and second type boundary conditions are assumed to hold on the line $\ y=0$. Solvability of these boundary problems reduces to solvability of Riman-Hilbert boundary problem. The solvability analysis is based on the factorization problem of some matrix-function.
Keywords: Helmholtz-Shrodinger equation, factorization of matrix-functons. 
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S. A. Hosseiny Matikolai; A. G. Kamalian; M. I. Karakhanyan. On an anisotropic boundary problem of diffraction with first and second type boundary conditions. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2010), pp. 12-15. http://geodesic.mathdoc.fr/item/UZERU_2010_2_a1/

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