Problem of parameter estimation in Hilbert space for differential equations under conditions of uncertainty

Abstract

The problem of identification of differential equations given in Hilbert space is considered in the work. There are stated conditions of existence of problem solutions meaning continuous dependence on parameters of differential equations. The constructive algorithm for solution of identification problem in Hilbert space resulting in solution of corresponding boundary value problem is created. The way of its reduction to Cauchy problem is offered. A special case allowing solution not only in operator-like form is considered.