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N阶常系数线性中立型方程的强迫振动
引用本文:周进,陈均平.N阶常系数线性中立型方程的强迫振动[J].重庆大学学报(自然科学版),1994,17(6):83-88.
作者姓名:周进  陈均平
作者单位:重庆大学系统工程及应用数学系,重庆工业管理学院
摘    要:应用Fourier极数理论研究n阶常系数线性中立型方程的强迫振动,得到了保证存在唯一周期解的充分必要条件,并由此得到若干简便的判别法则。本文改进和推广了文(13)的结果。

关 键 词:中立型方程  微分差分方程  傅里叶级数  强迫振动

Forced Vibrad0ns of the Nth-Order Linear Neutral Dealy Differential Equations with Real Constant Coefficients
Zhou Jin,Chen Junping.Forced Vibrad0ns of the Nth-Order Linear Neutral Dealy Differential Equations with Real Constant Coefficients[J].Journal of Chongqing University(Natural Science Edition),1994,17(6):83-88.
Authors:Zhou Jin  Chen Junping
Institution:Zhou Jin;Chen Junping
Abstract:In this paper,we make an attempt to study forced vibrations of the nth-order linear neutral delay differential equations with real constant coefficients. Sufficient and necessary conditions of the existence and uniqueness of periodic solutions for the equations are obtained by use of theory of Pourier series. Furthmore ,some brief and practical critiria are given.
Keywords:neutral delay differential equations1difference-differential equation  theory of Fourier series  forced vibrations
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