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■(t)=θ■(t-r)+α(t)f(x(t))+β(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．
The paper studies the existence of periodic solutions to a type of the first order neutral functional differential equations with complex deviating argument x^·（t）=θx^·（t-γ）＋α（t）f（x（t））＋β（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.
基金
上海市教委科研基金(05EZ52)
关键词
复杂偏差变元
泛函微分方程
周期解
拓扑度
functional differential-iterative equation
periodic solution
topological degree.
