Hyers-Ulam-Rassias Stability of Functional Differential Systems with Point and Distributed Delays-Reference-Cited by-同舟云学术

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

Published:2015 Issue: Volume:2015 Page:1-10
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

De la Sen M.¹

Affiliation:

1. Institute of Research and Development of Processes (IRDP), Faculty of Science and Technology, University of the Basque Country, P.O. Box 644, Bilbao, Barrio Sarriena, Leioa, 48940 Biscay, Spain

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.

Funder

Spanish Government

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2015/492515.pdf

Reference28 articles.

1. On some inequalities and stability results related to the exponential function

2. Hyers-Ulam stability of functional equations in several variables

3. Approximate homomorphisms

4. On the asymptoticity aspect of Hyers-Ulam stability of mappings

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses;Mathematica Slovaca;2020-09-27

2. On the stability of an SEIR epidemic model with distributed time-delay and a general class of feedback vaccination rules;Applied Mathematics and Computation;2015-11