一类含参数的多时滞微分方程的正周期解

Positive periodic solutions for a class of differential equations involving parameter and multiple delays

本文运用锥上的Krasnoselskii不动点定理研究了一类含参数的多时滞微分方程正ω-周期解的存在性,并证明了其正ω-周期解的多重性定理以及不存在性定理.

In this paper,we use Krasnoselskii s fixed point theorem on cones to study existence of positiveω-periodic solutions for a class of differential equations involving parameter and multiple delays.We prove some theorems about the multiplicity and the theorem on nonexistence of positiveω-periodic solutions.