Geodesic
Generalized solutions and Euler--Darboux transformations
Ufa mathematical journal, Tome 6 (2014) no. 4, pp. 60-67

Voir la notice de l'article provenant de la source Math-Net.Ru

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: Klein–Gordon–Fock equation, Schrödinger equation, fundamental solution.
Mots-clés : Euler–Darboux transformation 
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     title = {Generalized solutions and {Euler--Darboux} transformations},
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I. V. Verevkin. Generalized solutions and Euler--Darboux transformations. Ufa mathematical journal, Tome 6 (2014) no. 4, pp. 60-67. http://geodesic.mathdoc.fr/item/UFA_2014_6_4_a4/