Asymptotic behavior and stability of second order neutral delay differential equations

作者：Chen Guiling; van Gaans Onno^*; Lunel Sjoerd Verduyn

来源：Indagationes Mathematicae, 2014, 25(3): 405-426.

DOI：10.1016/j.indag.2013.09.006

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

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.

• 出版日期2014-4-18
• 单位西南交通大学