中立型时滞模型周期正解的一个充分条件(英文)

Sufficient Condition on Positive Periodic Solution for Neutral Delay Model

研究了一类中立型时滞模型：Ｎ’（ｔ）＝Ｎ（ｔ）［α（ｔ）－β（ｔ）Ｎ（ｔ）－ｂ（ｔ）Ｎ（ｔ－τ（ｔ））－ｃ（ｔ）Ｎ‘（ｔ－τ（ｔ））］周期正解的存在性，其中α（ｔ），β（ｔ），ｂ（ｔ），ｃ（ｔ），τ（ｔ）是周期Ｔ的非负连续函数．一个新的充分条件被给出，这一结果肯定的回答了文［１］的分开问题９．２．

A new sufficient conditions are derived for the existence of positive periodic solution of neutral delay model of the form N'(t) = N(t)[α(t) -β(t)N(t)- b(t)N(t - τ(t))-c(t)N'(t - τ(t))] where α(t),β(t), b(f), c(f), τ(t) are nonnegative continuous T-periodic functions, and the result in this paper answer the open problem 9.2 in [1].