General Representation of Solutions of the Equation of Penetration and Diffusion of X-Rays in Plane Geometry
- Авторы: Shulaia D.1, Ghurtskaia P.2
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Учреждения:
- I. Vekua Institute of Applied Mathematics
- Georgian Technical University
- Выпуск: Том 218, № 6 (2016)
- Страницы: 829-833
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238376
- DOI: https://doi.org/10.1007/s10958-016-3071-z
- ID: 238376
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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.
Об авторах
D. Shulaia
I. Vekua Institute of Applied Mathematics
Автор, ответственный за переписку.
Email: dazshul@yahoo.com
Грузия, Tbilisi
P. Ghurtskaia
Georgian Technical University
Email: dazshul@yahoo.com
Грузия, Tbilisi