To the Solution of Coefficient Inverse Problems with High-Order Overdetermination Conditions

We consider the problem of identifying the 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 the unknown parameters, firstly, are nonlocal, and, secondly, include derivatives of an unknown function. The work examines the conditions for existence and uniqueness of a solution to the problem and proposes two different approaches to the numerical solution of the problem. The results of computer experiments are presented.