Steklov operator

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.

Regularization of Abel Equation with the Use of Discontinuous Steklov Operator

Authors: Khromova G. V.

For getting uniform approximations of the exact solution of Abel equation with an approximate right-hand part a simply constructed family of integral operators is suggested.

Approximation of Function and Its Derivative by the Modificated Steklov Operator

Authors: Khromov A. A.

With the use of modification of Steklov operator are constructed families of integral operator which allow us to get uniform derivative on a closed.