Hyers-Ulam-Rassias Stability of Functional Differential Systems with Point and Distributed Delays
De la Sen Parte, Manuel
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Discrete Dynamics in Nature and Society 2015 : (2015) // Article ID 492515
This paper investigates stability and asymptotic properties of the error with respect to its nominal version of a nonlinear time-varying perturbed functional differential system subject to point, finite-distributed, and Volterra-type distributed delays associated with linear dynamics together with a class of nonlinear delayed dynamics. The boundedness of the error and its asymptotic convergence to zero are investigated with the results being obtained based on the Hyers-Ulam-Rassias analysis.