Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{ZNSL_2001_275_a15,
     author = {Sh. Sakhaev},
     title = {On one analog of {Green's} formula and its applications in electrodynamics},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {212--232},
     year = {2001},
     volume = {275},
     language = {ru},
     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/