A generalization of the Bernfeld-Haddock conjecture

被引：11
|
作者：
Liu, Bingwen [1 ]
机构：
[1] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2017年 / 65卷
关键词：
Bernfeld-Haddock conjecture; Non-autonomous differential equation; Time-varying delay; Convergence; BEHAVIOR;
D O I：
10.1016/j.aml.2016.09.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the convergence of a non-autonomous differential equation with a time-varying delay. The equation has important practical applications. It is shown that every solution of the equation is bounded and tends to a constant as t -> +infinity, which generalizes the Bernfeld-Haddock conjecture. Our result improves and extends some existing ones. (C) 2016 Elsevier Ltd. All rights reserved.
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页码：7 / 13
页数：7
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