General Representation of Solutions of the Equation of Penetration and Diffusion of X-Rays in Plane Geometry


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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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