Geodesic
The rigorous solution of the two-dimensional problem of diffraction by a finite number of curvilinear screens
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 6, pp. 1506-1512

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A rigorous solution of the problem of the diffraction of a plane electromagnetic wave by a finite number of circular cylinders with longitudinal slits is discussed. The initial problem in terms of differential equations is reduced to an analysis of the operator equation of the second kind with a totally continuous operator. The unique solvability of the equation obtained, and the equivalence theorem are proved. 
@article{ZVMMF_1983_23_6_a21,
     author = {V. N. Koshparenok and P. N. Melezhik and A. E. Poedinchuk and V. P. Shestopalov},
     title = {The rigorous solution of the two-dimensional problem of diffraction by a finite number of curvilinear screens},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1506--1512},
     publisher = {mathdoc},
     volume = {23},
     number = {6},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_6_a21/}
}
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V. N. Koshparenok; P. N. Melezhik; A. E. Poedinchuk; V. P. Shestopalov. The rigorous solution of the two-dimensional problem of diffraction by a finite number of curvilinear screens. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 6, pp. 1506-1512. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_6_a21/