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一类高阶泛函微分方程多个周期解的存在性
引用本文:秦发金.一类高阶泛函微分方程多个周期解的存在性[J].柳州师专学报,2011,26(5):124-128,120.
作者姓名:秦发金
作者单位:柳州师范高等专科学校数学与计算机科学系,广西柳州,545004
摘    要:利用重合度理论,研究一类高阶泛函微分方程周期解存在性的问题,获得了这类方程至少存在两个周期解的结果,并通过两个数值例子表明所获结果的有效性.

关 键 词:高阶泛函微分  方程  周期解  存在性

Existence of Several Periodic Solutions for a Class of High-order Functional Differential Equation
QIN Fajin.Existence of Several Periodic Solutions for a Class of High-order Functional Differential Equation[J].Journal of Liuzhou Teachers College,2011,26(5):124-128,120.
Authors:QIN Fajin
Institution:QIN Fajin(Department of Mathematics and Computer Science,Liuzhou Teachers College,Liuzhou,Guangxi,545004 China)
Abstract:By applying the coincidence degree theory,this paper studies the existence of several periodic solutions to the high-order functional differential equation,and some new results for the existence of at least two periodic solutions to such equation are obtained.Two examples are employed to illustrate the feasible results.
Keywords:high-order functional differential equation  several periodic solutions  existence
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