一类具有偏差变元的高阶中立型微分方程周期解的存在性和唯一性  

Existence and Uniqueness of Periodic Solutions for a Class of High-Order Neutral Differential Equations with Deviating Arguments

作　　者：姚晓洁[1] 

机构地区：[1]柳州师范高等专科学校数学与计算机科学系,广西柳州545004

出　　处：《柳州师专学报》2010年第6期125-131,共7页Journal of Liuzhou Teachers College

摘　　要：研究了一类具有偏差变元的高阶中立型微分方程周期解问题.利用重合度理论,获得了其周期解的存在性和唯一性的充分条件.The existence and uniqueness of periodic solutions for a class of high-order neutral differential equations are studied by employing continuation theorem of coincidence degree theory,some sufficient condition of the existence and uniqueness of periodic solutions to a kind of high-order neutral differential equations with deviating arguments are obtained.

关 键 词：高阶中立型微分方程 偏差变元 周期解 重合度 

分 类 号：O175.6[理学—数学]