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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 275, Pages 212–232 (Mi znsl1402)  
On one analog of Green's formula and its applications in electrodynamics

Sh. Sakhaev

Al-Farabi Kazakh National University
Full-text PDF (222 kB)
Abstract: 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.
Received: 10.11.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 117, Issue 2, Pages 4008–4019
DOI: https://doi.org/10.1023/A:1024683212182
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: Sh. Sakhaev, “On one analog of Green's formula and its applications in electrodynamics”, Mathematical problems in the theory of wave propagation. Part 30, Zap. Nauchn. Sem. POMI, 275, POMI, St. Petersburg, 2001, 212–232; J. Math. Sci. (N. Y.), 117:2 (2003), 4008–4019
Citation in format AMSBIB
\Bibitem{Sak01}
\by Sh.~Sakhaev
\paper On one analog of Green's formula and its applications in electrodynamics
\inbook Mathematical problems in the theory of wave propagation. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 275
\pages 212--232
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1402}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1854511}
\zmath{https://zbmath.org/?q=an:1108.78002}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 117
\issue 2
\pages 4008--4019
\crossref{https://doi.org/10.1023/A:1024683212182}
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