Solution to a class of inverse problems for a system of loaded ordinary differential equations with integral conditions

This work is dedicated to the numerical solution of a class of parametric identification problems for dynamic objects. The process is described by a system of loaded ordinary differential equations. Observations over the object have integral (interval) and point characters, at which the results of the observations are given in a summarized non-separated form. We propose a technique that reduces the solution of the initial problem to the solution of specially-built supplementary Cauchy problems. The results of some numerical experiments are also given.