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Современная математика и ее приложения, 2015, том 97, статья опубликована в англоязычной версии журнала
(Mi cma431)
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General representation of solutions of the equation of penetration and diffusion of X-rays in plane geometry
D. Shulaiaa, P. Ghurtskaiab a Tbilisi Ivane Javakhishvili State University, Ilia Vekua Institute of Applied Mathematics
b Georgian Technical University
Аннотация:
In this paper, we present a general procedure for solving of
homogeneous equations that describe penetration and diffusion of
X-rays in plane geometry. Starting from Van Kampen's and Case's
observation that it suffices that “solutions” be distributions,
elementary solutions of a homogeneous equation are found. We also
prove that general solutions can be obtained by superposition of
elementary solutions.
Образец цитирования:
D. Shulaia, P. Ghurtskaia, “General representation of solutions of the equation of penetration and diffusion of X-rays in plane geometry”, Journal of Mathematical Sciences, 218:6 (2016), 829–833
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/cma431
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Страница аннотации: | 47 |
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