Linearized stability for a class of neutral functional differential equations with state-dependent delays

被引：13
|
作者：
Hartung, Ferenc [1 ]
机构：
[1] Univ Pannonia, Dept Math & Comp, H-8201 Veszprem, Hungary
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 5-6期
基金：
匈牙利科学研究基金会;
关键词：
neutral equation; state-dependent delay; linearization; exponential stability;
D O I：
10.1016/j.na.2007.07.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we formulate a stability theorem by means of linearization around a trivial solution in the case of autonomous neutral functional differential equations with state-dependent delays. We prove that if the trivial solution of the linearized equation is exponentially stable, then the trivial solution of the nonlinear equation is exponentially stable as well. As an application of the main result, explicit stability conditions are given. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1629 / 1643
页数：15
相关论文
共 50 条
12345