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

    Download PDF
    Article on MathNet

    Abstact


    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.