IJPAM: Volume 67, No. 1 (2011)

INVERSE PROBLEMS IN NONCLASSICAL STATEMENTS

Yu.L. Menshikov
Faculty of Mechanics and Mathematics
Dnepropetrovsk University
72, Gagarina Avenue, Dnepropetrovsk, 49010, UKRAINE
e-mail: [email protected]


Abstract.The inverse problems which cannot be solved in the classical framework are investigated in this article. They are as follows: Krylov inverse problem, early diagnostics of a rotor unbalance, the most probable solution of inverse problem. For obtaining the steady solutions of these problems some algorithms based on the method of Tikhonov regularization are offered. Krylov inverse problem in various statements has been considered and numerical calculation based on real measurements has been executed. Nonclassical statements of inverse problems extend of regularization method possibilities.

Received: December 17, 2010

AMS Subject Classification: 34A55

Key Words and Phrases: inverse problems, nonclassical statement, regularization, special mathematical models

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 67
Issue: 1