Mathematics

Method of the inverse problem solution using an additional a priori information

O. V. Grigorieva

South Ural State University

Abstract: There is additional a priori information about the exact solution useful for qualitative improvement of the approximate solution in many inverse problems of the mathematical physics. In this article the generalization of the discrepancy method suggested by V. K. Ivanov in the article [1]. The discrepancy method allows using additional a priori information.

Keywords: Hilbert space, an operational equation, an improperly posed problem, a discrepancy method.

UDC: 517.948

Received: 01.12.2009