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一类具多偏差变元的高阶微分方程周期解
引用本文:陈仕洲.一类具多偏差变元的高阶微分方程周期解[J].韩山师范学院学报,2011,32(3):6-13.
作者姓名:陈仕洲
作者单位:韩山师范学院数学与信息技术系,广东潮州,521041
摘    要:利用Mahwin重合度理论研究了一类具多偏差变元的高阶微分方程的周期解问题,得到了周期解存在性的充分性结果,推广和改进已有的结果.

关 键 词:多偏差变元  高阶  中立型泛函微分方程  周期解  重合度理论

Periodic Solutions for a Kind of Higher Order Differential Equations with Multiple Deviating Arguments
CHEN Shi-zhou.Periodic Solutions for a Kind of Higher Order Differential Equations with Multiple Deviating Arguments[J].Journal of Hanshan Teachers College,2011,32(3):6-13.
Authors:CHEN Shi-zhou
Institution:CHEN Shi-zhou(Department of Mathematics and Information Technology,Hanshan Normal University,Chaozhou 521041,China)
Abstract:By employing the continuation theorem of coincidence degree theory developed by Mawhin,a kind of higher order functional differential equation with multiple deviating arguments is studied.Sufficient conditions are given for the existence of periodic solutions,which generalizes and improves the known result.
Keywords:multiple deviating arguments  higher order  neutral functional differential equation  periodic solution  coincidence degree  
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