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.
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.
| Original language | English |
|---|---|
| Pages (from-to) | 405-426 |
| Journal | Indagationes Mathematicae |
| Volume | 25 |
| DOIs | |
| Publication status | Published - 2014 |
Keywords
- Asymptotic behavior
- Stability
- Asymptotic stability
- Neutral delay differential equation
- Retarded delay differential equation
- Characteristic equation
- Fixed point theory
- Spectral theory