Asymptotic of regularized solutions of the ill-posed Cauchy problem for a linear nonautonomous system with delay

We consider an ill-posed Cauchy problem for a linear nonautonomous system of differential equations with delay. We find asymptotic formulas describing analytical dependances of regularized solutions on the regularization parameter on a finite interval of the negative half-line. The Tikhonov regularization method is used. We chose the stabilizing functional such that it does not generate a compact set in the space of states. The asymptotic formulas are found for smooth enough initial functions which do not provide backward continuation.