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Ufa Mathematical Journal, 2014, Volume 6, Issue 4, Pages 60–67
DOI: https://doi.org/10.13108/2014-6-4-60 (Mi ufa260) 		 
Generalized solutions and Euler–Darboux transformations

I. V. Verevkin

Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia
English version PDF (308 kB) Russian version article
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DOI: https://doi.org/10.13108/2014-6-4-60
Abstract: We introduce Euler–Darboux transformation for non-homogeneous differential equations with the right-hand side being a generalized function. As an example, we construct the fundamental solutions for Klein–Gordon–Fock and Schrödinger equations with variable coefficients describing a particle in external scalar field.
Keywords: Euler–Darboux transformation, Klein–Gordon–Fock equation, Schrödinger equation, fundamental solution.
Received: 06.03.2014
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35A08, 35D99, 35Q40
Language: English
Original paper language: Russian
Citation: I. V. Verevkin, “Generalized solutions and Euler–Darboux transformations”, Ufa Math. J., 6:4 (2014), 60–67
Citation in format AMSBIB
\Bibitem{Ver14}
\by I.~V.~Verevkin
\paper Generalized solutions and Euler--Darboux transformations
\jour Ufa Math. J.
\yr 2014
\vol 6
\issue 4
\pages 60--67
\mathnet{http://mi.mathnet.ru//eng/ufa260}
\crossref{https://doi.org/10.13108/2014-6-4-60}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928230024}
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    Russian version PDF:152
    English version PDF:17
    References:75
     
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