关于高阶常系数线性中立型方程周期解的讨论
Discussion on the Periodic Solutions for Linear Equation of Neutral Type with Constant Coefficients
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摘要: 本文讨论高阶常系数线性中立型方程的周期解问题,作者利用Fourier级数理论给出周期解存在,唯一的充分必要条件,所得结果包含和推广了文献[1]中的结果。Abstract: In this paper we apply the theory of Fourier Series to give some necessary and sufficient conditions of the existence of periodic solutions for linear equations of neutral type with constant coefficients[1].
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Key words:
- periodic solutions /
- Fourier series /
- necessary and sufficient conditions /
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[1] 章毅、张毅.关于二阶常系数线性中立型方程的周期解,数学学报,33(4)(1990), 517-520, [2] R.Bellman and K.L, Cook,Differential-Difference Equations,New York and London (1963), [3] 司建国.两类线性泛函微分方程解析解的存在性,应用数学学报,14(2)(1991), 262-276.
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