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

作者：Liu, Bingwen^*

来源：Journal of Mathematical Analysis and Applications, 2017, 446(1): 580-590.

DOI：10.1016/j.jmaa.2016.09.001

• Bernfeld-Haddock conjecture
• Non-autonomous differential equation
• Time-varying delay
• Asymptotic behavior

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.

• 出版日期2017-2-1
• 单位嘉兴学院