Asymptotic behavior of solutions to a class of non-autonomous delay differential equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:446

Article

Liu, Bingwen¹ 

[1] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China

关键词: Bernfeld-Haddock conjecture;    Non-autonomous differential equation;    Time-varying delay;    Asymptotic behavior;   

DOI  :  10.1016/j.jmaa.2016.09.001

来源: Elsevier

【 摘 要 】

In this paper, we study the asymptotic behavior of solutions of a class of non autonomous delay differential equations. These equations have important practical applications and generalize those on which Bernfeld and Haddock conjectured that each solution of the equations tends to a constant. It is shown that every solution of the equations is bounded and tends to a constant as t -> +infinity, which improves and extends some existing ones. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free