Article
Ufa Mathematical Journal
Volume 6, Number 4, pp. 60-67
Generalized solutions and Euler-Darboux transformations
Verevkin I.V.
DOI:10.13108/2014-6-4-60
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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 Schr\"odinger equations with variable coefficients describing a particle in external scalar field.