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Asymptotic behavior and stability of second order neutral delay differential equations |
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| Authors: | Guiling Chen Onno van Gaans Sjoerd Verduyn Lunel |
| Affiliation: | 1. Department of Mathematics, Southwest Jiaotong University, Chengdu 610031, PR China;2. Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA, Leiden, The Netherlands;3. Mathematical Institute, Utrecht University, P.O. Box 80010, 3508 TA Utrecht, The Netherlands |
| 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 |
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