Approach to Determining the Parameters of a Dynamic System Under Nonlocal High-Order Overdetermination Conditions

The authors study the problem of identifying constant parameters involved in the right-hand sides of a linear, nonautonomous system of differential equations with first-order ordinary derivatives. The specificity of the problem lies in the fact that additional conditions for identifying parameters, firstly, are nonlocal, and secondly, they include derivatives of an unknown function. The authors examine the conditions for the existence and uniqueness of a solution to the problem and propose two different approaches to the numerical solution of the problem. They also present the results of computer experiments.