Hyers–Ulam–Rassias Stability of Linear Systems of Differential Equations with Generalized Action and Delay

For linear systems of differential equations with delay subject to generalized influence, a formalization of the concept of Highers–Ulam–Rassias stability is proposed. The cases are considered when the system has a single reaction to a generalized impact and when the system’s reaction is not unique. Sufficient conditions for such stability are established for the systems of differential equations under consideration.