On a Boundary Value Problem for a System of Differential–Difference Equations of Retarded Type

Abstract: We consider a control system described by a system of differential equations of retardedtype with variable matrix coefficients and several delays. The relationship between the variationalproblem for a nonlocal functional describing the multidimensional control system with delays andthe corresponding boundary value problem for the systems of differential–difference equations isestablished. The existence, uniqueness, and smoothness of the generalized solution of theboundary value problem on the entire interval are proved. © 2022, Pleiades Publishing, Ltd.