According to [1, 2], a differential equation with deviating argument is an equation that contains the values of the unknown function and its derivatives at different values of the argument t (time). Such an equation is referred to as a delay equation if the value of the higher-order derivative at each time t is expressed via the values of lower-order derivatives at earlier instants t + 0, where 0 0, by C we denote the space of continuous functions on the closed interval [ -h ; 0] with values in R ~. For ~ E C, we set II~lI sUP-h 0, and t is a given number, t E [0; A), then, following [4], by xt we denote the restriction of the function x to the closed interval [t h; t]. Therefore, xt is the element of C given by the formula xt(O) = x(t + O) for h < 0 < 0. Let us consider the system of differential-functional equations