
Accession Number : AD0700788
Title : A NEW METHOD FOR SOLVING THE HILBERT BOUNDARY VALUE PROBLEM FOR SEVERAL UNKNOWN FUNCTIONS,
Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHTPATTERSON 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 vanishingintheinfinity 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