An exponential stability criterion for nonlinear second-order functional differential equations with time-variable delays

Cui Li and Chengjian Zhang

Applied Mathematics and Computation, 2018, vol. 328, issue C, 119-124

Abstract: This paper is concerned with the exponential stability for nonlinear second-order functional differential equations (FDEs) with time-variable delays. An exponential stability relationship between the FDEs and the corresponding ordinary differential equations (ODEs) is derived. It is proved under some appropriate conditions that the second-order FDEs can preserve the exponential stability of the corresponding ODEs. This stability result is also illustrated with a numerical approach.

Keywords: Exponential stability; Second-order functional differential equations; Time-variable delay; Second-order ordinary differential equations (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:328:y:2018:i:c:p:119-124

DOI: 10.1016/j.amc.2018.01.063

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