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一类高阶混合型方程周期解存在唯一的充要条件
引用本文:杨启贵.一类高阶混合型方程周期解存在唯一的充要条件[J].数学物理学报(A辑),1998(Z1).
作者姓名:杨启贵
作者单位:广西师范大学数学与计算机科学系桂林 541004
基金项目:广西区教委自然科学基金,广西区青年自然科学基金
摘    要:该文利用Fourier级数理论讨论了具有两个偏差变元的常系数线性高阶混合型泛函微分方程的周期解,得到了用系数与时滞表示的周期解存在、唯一的充要条件.

关 键 词:泛函微分方程  混合型  周期解

Necessary and Sufficient Condition of Existence and Uniqueness of the Periodic Solution For a Class of Equation of High Order of Compound Type
Yang Qigui.Necessary and Sufficient Condition of Existence and Uniqueness of the Periodic Solution For a Class of Equation of High Order of Compound Type[J].Acta Mathematica Scientia,1998(Z1).
Authors:Yang Qigui
Institution:Yang Qigui Department of Mathematics and Computer Science .Guangxi Normal University,Guilin 541004
Abstract:In this paper the periodic solution of linear functional equation of compound type ofarbitary order with constant coefficients and two constant delays is considered by Fourier seriestheory,and necessary and sufficient condition characterized by coefficients and delays is ob-tained, under which periodic solution of compound equation will be existence and uniqueness.
Keywords:Functional differential equation  compound type  periodic solution  
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