New generalization of the two-dimensional Bernfeld-Haddock conjecture and its proof

被引：5

作者：

Xu, Min ^{[2
]}

Chen, Wei ^{[1
]}

Yi, Xuejun ^{[3
]}

机构：

[1] Shanghai Lixin Univ Commerce, Sch Math & Informat, Shanghai 201620, Peoples R China

[2] Hunan Univ Arts & Sci, Dept Math, Changde 415000, Hunan, Peoples R China

[3] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Bernfeld-Haddock conjecture; Delay differential equation; Convergence; FUNCTIONAL-DIFFERENTIAL EQUATIONS; COMPARTMENTAL-SYSTEMS; ASYMPTOTIC CONSTANCY; MONOTONE SEMIFLOWS; CONVERGENCE; BEHAVIOR; SPACES;

D O I：

10.1016/j.nonrwa.2009.12.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a class of systems of delay differential equations. These systems have important practical applications and also are a two-dimensional generalization of the Bernfeld-Haddock conjecture. It is shown that each bounded solution of the systems tends to a constant vector under a desirable condition. Our results improve some corresponding ones already known and, in particular, give a proof of the Bernfeld-Haddock conjecture. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：3413 / 3420

页数：8

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