一类多时滞微分方程的周期正解

Positive Periodic Solutions for a Class of Delay Differential Equations

利用Krasnoselskill不动点指数定理,得到一类带有参数的多时滞微分方程i=1至少存在两个ω-周期正确的充分条件,推广了已有文献中的相关结果.

Consider a class of delay differential equation x′（t）=a（t）g（x（t））x（t）-λ∑i=1^nbi（t）fi（t,x（x（t-τi（t））） By using Krasnoselskill fixed-point index theorem, a sufficient condition to guarantedd the existence of two ω-periodic positive solutions is obtained. Our result extends the corresponding known results.