Hyers-Ulam Stability of the Delay Equation

Soon-Mo Jung and Janusz Brzdęk

Abstract and Applied Analysis, 2010, vol. 2010, 1-10

Abstract:

We investigate the approximate solutions of the delay differential equation with an initial condition, where and are real constants. We show that they can be “approximated†by solutions of the equation that are constant on the interval and, therefore, have quite simple forms. Our results correspond to the notion of stability introduced by Ulam and Hyers.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:372176

DOI: 10.1155/2010/372176

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