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Hyers-Ulam-Rassias Stability of Functional Differential Systems with Point and Distributed Delays

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  • M. De la Sen

Abstract

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.

Suggested Citation

  • M. De la Sen, 2015. "Hyers-Ulam-Rassias Stability of Functional Differential Systems with Point and Distributed Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-10, January.
    • Handle: RePEc:hin:jnddns:492515
    DOI: 10.1155/2015/492515
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