Email this article General Representation of Solutions of the Equation of Penetration and Diffusion of X-Rays in Plane Geometry
- Authors: Shulaia D.1, Ghurtskaia P.2
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Affiliations:
- I. Vekua Institute of Applied Mathematics
- Georgian Technical University
- Issue: Vol 218, No 6 (2016)
- Pages: 829-833
- Section: 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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Abstract
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.
About the authors
D. Shulaia
I. Vekua Institute of Applied Mathematics
Author for correspondence.
Email: dazshul@yahoo.com
Georgia, Tbilisi
P. Ghurtskaia
Georgian Technical University
Email: dazshul@yahoo.com
Georgia, Tbilisi
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