This article is cited in 11 papers

Differential Equations

On Riemann method for solving a mixed problem

A. N. Mironov

Elabuga State Pedagogical Institute

Abstract: The formula for solution of a problem for an equation with the higher partial derivative of the general type is constructed using Riemann method. In this problem the solution is found in the characteristic parallelepiped with separated by the non-characteristic surface angle. The Cauchy conditions are given on the non-characteristic part of bound and the Goursat conditions are given on the characteristics adjacent to this bound.

UDC: 517.956

Received 26.04.2007

DOI: 10.14498/vsgtu526

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