General Representation of Solutions of the Equation of Penetration and Diffusion of X-Rays in Plane Geometry
- Авторлар: Shulaia D.1, Ghurtskaia P.2
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Мекемелер:
- I. Vekua Institute of Applied Mathematics
- Georgian Technical University
- Шығарылым: Том 218, № 6 (2016)
- Беттер: 829-833
- Бөлім: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238376
- DOI: https://doi.org/10.1007/s10958-016-3071-z
- ID: 238376
Дәйексөз келтіру
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.
Авторлар туралы
D. Shulaia
I. Vekua Institute of Applied Mathematics
Хат алмасуға жауапты Автор.
Email: dazshul@yahoo.com
Грузия, Tbilisi
P. Ghurtskaia
Georgian Technical University
Email: dazshul@yahoo.com
Грузия, Tbilisi
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