ON AN ANISOTROPIC BOUNDARY PROBLEM OF DIFFRACTION WITH FIRST AND SECOND TYPE BOUNDARY CONDITIONS

S. A. Hosseiny Motikolai; A. H. Kamalyan; M. I.  Karakhanyan

doi:10.46991/PYSU:A/2010.44.2.012

ON AN ANISOTROPIC BOUNDARY PROBLEM OF DIFFRACTION WITH FIRST AND SECOND TYPE BOUNDARY CONDITIONS

Authors

S. A. Hosseiny Motikolai Chair of Differential Equations, YSU, Armenia
A. H. Kamalyan Chair of Differential Equations, YSU, Armenia
M. I. Karakhanyan Chair of Differential Equations, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2010.44.2.012

Keywords:

factorization of matrix-functons, Helmholtz–Shrodinger equation

Abstract

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.

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Published

2010-04-26

How to Cite

Hosseiny Motikolai, S. A., Kamalyan, A. H., & Karakhanyan, M. I. . (2010). ON AN ANISOTROPIC BOUNDARY PROBLEM OF DIFFRACTION WITH FIRST AND SECOND TYPE BOUNDARY CONDITIONS. Proceedings of the YSU A: Physical and Mathematical Sciences, 44(2 (222), 12–15. https://doi.org/10.46991/PYSU:A/2010.44.2.012