On numerical approximation of a delay differential equation with impulsive self-support condition

Ferenc Hartung

Applied Mathematics and Computation, 2022, vol. 418, issue C

Abstract: In this paper we consider a scalar linear delay equation with constant delay associated with an impulsive self-support condition. We define a numerical approximation scheme using a sequence of approximate delay equations with piecewise constant arguments, and we show its theoretical convergence. We present numerical examples to illustrate the applicability of the method, and we also observe existence of periodic solutions of the impulsive delay equation using numerical studies.

Keywords: Delay differential equations; Impulses; Equations with piecewise constant arguments; Numerical approximation; Periodic solution (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:418:y:2022:i:c:s0096300321009012

DOI: 10.1016/j.amc.2021.126818

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