the inverse problem

Solving inverse problems of dynamics of non-linear objects with the use of Volterra series

The article deals with the method of resolving inverse problems of dynamics of nonlinear dynamical objects described by the Volterra series. As an example the case of the Volterra series with two members has been considered. The proposed approach is based on the quadrature method. As a result the methods of resolving of Volterra polynominal integral equation of the first kind and second degree based on the left rectangle method and trapezoidal method were developed.

Multilayered inverse linear problem of structural gravimetry and magnetometry

In the absence of a priori information about the geological structure of study area the structural nonlinear inverse problem (IP) is incorrect and its solution is ambiguous and even physically nonsense or difficult to interpretation. Therefore it is possible to use a space-fixed multilayered model of linear IP with horizontal strata which are composed of quite a large number of blocks in the boxes form (400 to 2500) and to solve the linear IP relative to anomalous density (AD) or the intensity of magnetization (IM) of each block.