一类具复杂偏差变元的中立型微分方程的周期解

Existence of Periodic Solutions to a Type of First Order Neutral Functional Differential Equation with Complex Deviating Argumen

中文关键词:  复杂偏差变元  泛函微分方程  周期解  拓扑度.

英文关键词:functional differential-iterative equation  periodic solution  topological degree.

中文摘要:

      本文研究了一类具复杂偏差变元的中立型泛函微分方程$$\dot{x}(t)=\theta \dot{x}(t-\tau )+\alpha (t)f(x(t))+\beta (t)g(x(x(t)))+p(t)$$的周期解的存在性,得到了周期解存在的充分条件,并给出了所得结论的几个简单应用．

英文摘要:

      The paper studies the existence of periodic solutions to a type of the first order neutral functional differential equations with complex deviating argument $\dot{x}(t)=\theta\dot{x}(t-\tau)+\alpha (t)f(x(t))+\beta (t)g(x(x(t)))+p(t)$, obtains sufficient conditions for existence of the periodic solutions, and gives a few simple applications of the theory.