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SOLUTION OF BOUNDARY VALUE PROBLEM OF HYPERBOLIC THIRD-ORDER EQUATION IN THREE-DIMENSIONAL REGION

Journal: Science Journal "NovaInfo" (Vol.2, No. 60)

Publication Date:

Authors : ; ;

Page : 24-36

Keywords : PARTIAL DIFFERENTIAL THIRD-ORDER EQUATION; RIEMANN FUNCTION; EQUATION OF HYPERBOLIC TYPE; BOUNDARY VALUE PROBLEM; RIEMANN-HADAMARD FUNCTION; RIEMANN-HADAMARD METHOD;

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Abstract

The article investigates the boundary value problem for a partial differential third-order equation of hyperbolic type in an infinite field of three-dimensional Euclidean space. In this problem, the values of the desired function are set on one characteristic plane and two non-characteristic planes. Unique solvability of the problem is proven by Riemann-Hadamard method using specially constructed Riemann-Hadamard function, and the explicit representation of the solution is given.

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Last modified: 2017-09-20 17:36:49