On one analog of Green's formula and its applications in electrodynamics
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 30, Tome 275 (2001), pp. 212-232

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The new formula similar to Green's formula connected with the Helmgoltz operator is obtained. This formula makes it possible to set up three boundary-value problems. They are reduced to the systems of intergral equations of the second kind of the Fredholm type, which are solved by the perturbation method.
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     author = {Sh. Sakhaev},
     title = {On one analog of {Green's} formula and its applications in electrodynamics},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     volume = {275},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_275_a15/}
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Sh. Sakhaev. On one analog of Green's formula and its applications in electrodynamics. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 30, Tome 275 (2001), pp. 212-232. http://geodesic.mathdoc.fr/item/ZNSL_2001_275_a15/