Article

    Ufa Mathematical Journal
    Volume 4, Number 2, pp. 115-126

    On solutions of the first-order PDE with multidimensional symmetric integral and their modelling


    Nasyrov F.S., Yureva E.V.

    Download PDF
    Article on MathNet

    Abstact


    The deterministic analog of multidimensional Stratonovich integral is constructed. Method of solution of equations system with multidimensional symmetric integral is elaborated. The method of characteristics for solving of Cauchy problem for first-order partial differential equations with multidimensional symmetric integral is developed. This method reduces the solving of initial-value problem of above-mentioned equations to solution of equation system with multidimensional symmetric integral.