一类具多偏差变元的高阶中立型微分方程周期解的存在唯一性

Existence and Uniqueness of Periodic Solutions for a Kind of High-order Neutral Equation with Multiple Deviating Arguments

利用重合度理论,研究了一类具多偏差变元高阶中立型泛函微分方程的周期解,获得这类方程至少存在和至多存在一个T-周期解的充分性条件,其中周期解的先验界估计与方程的滞量有关.文中的主要结果改进和推广了相关文献的主要定理.

By using the coincidence degree theory, new results on the existence for a kind of high-order neutral equation with Multiple Deviating Arguments are obtained. The prior bounds of the periodic solutions are related to the delay of the equation. The main results of this paper are improved and extended the related theorems in the literatures.