регуляризация

The Solution of a Certain Inverse Problem

Authors: Khromov A. A.

The solution is given for the problem of findinging uniform approximations of a the right-hand side of a general linear ordinary differential equation in the case when approximations of the exact solution are known. The constructed method has a simple structure, produces approximations of the right-hand side on the whole interval of definition and does not employ boundary conditions.

The Solution of the Problem of Determining the Density of Heat Sources in a Rod

Authors: Khromov A. A., Khromova G. V.

We give a solution of a problem of determining the density of heat sources in the bav, which is set to a fixed temperature, if the temperature is given approximately. Mathematically it is the problem of finding uniform approximations to the right-hand side of the ordinary differential equation when uniform approximations to the solution and values of error are known.