一类时滞微分方程的渐近性态

The Asymptotivity of a Differential Equation with Several Delays

对一类时滞微分方程——血红细胞增长模型,通过代数不等式和泛函分析的方法,给出此时滞微分方程解的渐近性态的充分条件.

This paper discusses a type of differential equation of several delays ,the model for the survival of the Red Blood Cells dN（t）/dt=-μN（t）＋^m∑i=1 fi （N（t-τi））,in this equation μ,Ti∈ （0, ∞ ）, f ∈ C（ [0,∞ ）, （0, ∞ ） ）, and gains the sufficient condition of the asymptotic behavior by algebra inequality and analysis method.