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

F. S. Nasyrov, E. V. Yureva

Ufa State Aviation Technical University, Ufa, Russia

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

Keywords: multidimensional symmetric integral, differential equations system with multidimensional symmetric integral, partial differential equations with multidimensional symmetric integral, the method of characteristics.

UDC: 519.2

Received: 12.04.2012

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