Abstract:
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.
Keywords:Hyers–Ulam–Rassias stability, generalized action, delay, linear system.
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