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ЖУРНАЛЫ // Современная математика и ее приложения // Архив

Совр. матем. и ее приложения, 2015, том 97, страницы 133–137 (Mi cma431)

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.

УДК: 517.958

Язык публикации: английский


 Англоязычная версия: Journal of Mathematical Sciences, 2016, 218:6, 829–833


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