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

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...

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Bibliographic Details
Published inDiscrete Dynamics in Nature and Society Vol. 2015; no. 2015; pp. 738 - 747
Main Author de La Sen, Manuel
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2015
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects
Asymptotic properties
Banach spaces
Convergence (Mathematics)
Delay
Delay equations
Differential equations
Dynamic mechanical properties
Dynamic tests
Dynamical systems
Error analysis
Mathematical research
Nonlinear dynamics
R&D
Research & development
Stability
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Summary: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.
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ISSN:1026-0226
1607-887X
DOI:10.1155/2015/492515