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.

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D. Shulaia

I. Vekua Institute of Applied Mathematics

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Email: dazshul@yahoo.com
格鲁吉亚, Tbilisi

P. Ghurtskaia

Georgian Technical University

Email: dazshul@yahoo.com
格鲁吉亚, Tbilisi

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