一类有脉冲一阶泛函微分方程的正周期解

Positive Periodic Solutions to a Kind of Delay Functional Differential Equations with Impulse Effects

利用锥不动点定理研究有脉冲的一阶泛函微分方程正周期解的存在性,给出了多时滞的一阶脉冲微分方程周期解存在的充分条件,并且讨论了生态学中所提出的几类时滞脉冲微分方程模型,包括红细胞再生模型、果蝇模型和多时滞的Logistic方程等.

Employing a fixed point theorem in cones, we discussed mainly the existence of positive solution to periodic problems for the first impulsive functional differential equations, obtained the existence positive periodic solutions of the problem for first impulsive functional differential equations with delay. And we also discussed impulsive differential equations applied to biological system, for example, the Hematopoiesis model, the more general model of blood cell production, and the more general Nicholson ＇ s blowflies model and so on