Asymptotic behavior and stability of second order neutral delay differential equations

被引：5
|
作者：
Chen, Guiling [1 ,2 ]
van Gaans, Onno [2 ]
Lunel, Sjoerd Verduyn [3 ]
机构：
[1] Southwest Jiaotong Univ, Dept Math, Chengdu 610031, Peoples R China
[2] Leiden Univ, Math Inst, NL-2300 RA Leiden, Netherlands
[3] Univ Utrecht, Math Inst, NL-3508 TA Utrecht, Netherlands
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2014年 / 25卷 / 03期
关键词：
Asymptotic behavior; Stability; Asymptotic stability; Neutral delay differential equation; Retarded delay differential equation; Characteristic equation; Fixed point theory; Spectral theory; LARGE TIME BEHAVIOR;
D O I：
10.1016/j.indag.2013.09.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (C) 2013 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：405 / 426
页数：22
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