Accession Number:

AD0700788

Title:

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

Descriptive Note:

Corporate Author:

FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s):

• Vekua,N. P.

Report Date:

1969-10-21

Pagination or Media Count:

9.0

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