General Representation of Solutions of the Equation of Penetration and Diffusion of X-Rays in Plane Geometry
- Autores: Shulaia D.1, Ghurtskaia P.2
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Afiliações:
- I. Vekua Institute of Applied Mathematics
- Georgian Technical University
- Edição: Volume 218, Nº 6 (2016)
- Páginas: 829-833
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238376
- DOI: https://doi.org/10.1007/s10958-016-3071-z
- ID: 238376
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Resumo
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.
Sobre autores
D. Shulaia
I. Vekua Institute of Applied Mathematics
Autor responsável pela correspondência
Email: dazshul@yahoo.com
Geórgia, Tbilisi
P. Ghurtskaia
Georgian Technical University
Email: dazshul@yahoo.com
Geórgia, Tbilisi
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