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Asymptotic behavior and stability of second order neutral delay differential equations

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Publication date

2014

Authors

Chen, G.L.
van Gaans, O.W.
Verduyn Lunel, S.M.ISNI 0000000110529942

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DOI

https://doi.org/10.1016/j.indag.2013.09.006

Document Type

Article

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Abstract

We study the asymptotic behavior of a class of second order neutral delay differential equations by both a spectral projection method and an ordinary differential equation method approach. We discuss the relation of these two methods and illustrate some features using examples. Furthermore, a fixed point method is introduced as a third approach to study the asymptotic behavior. We conclude the paper with an application to a mechanical model of turning processes.

Keywords

Asymptotic behavior, Stability, Asymptotic stability, Neutral delay differential equation, Retarded delay differential equation, Characteristic equation, Fixed point theory, Spectral theory

Citation

Chen, G L, van Gaans, O W & Verduyn Lunel, S 2014, 'Asymptotic behavior and stability of second order neutral delay differential equations', Indagationes Mathematicae, vol. 25, pp. 405-426. https://doi.org/10.1016/j.indag.2013.09.006

URI

https://dspace.library.uu.nl/handle/1874/307329