Accession Number : AD0700788

Title :   A NEW METHOD FOR SOLVING THE HILBERT BOUNDARY VALUE PROBLEM FOR SEVERAL UNKNOWN FUNCTIONS,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Vekua,N. P.

Report Date : 21 OCT 1969

Pagination or Media Count : 9

Abstract : A new method is presented for solving a homogeneous Hilbert problem by reducing it to a new system of Fredholm integral equations which is obtainable in a way comparatively simpler than by the Plemelj system. The homogeneous Hilbert problem considered is given. The following theorem is proved: if the connected problem does not have vanishing-in-the-infinity solutions, the obtained equation can be solved, and each solution of this equation yields a definite solution of the problem considered. A procedure is outlined for constructing a canonical system for solving the Hilbert problem. (Author)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, INTEGRAL EQUATIONS), COMPLEX VARIABLES, THEOREMS, USSR

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE