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常系数线性中立型方程的一般周期的周期解
Periodic Solution of Linear Autonomous Neutral Differential Equations with Delays
【摘要】 本文利用Fourier级数理论及矩阵的Jordan标准形理论研究了单时滞常系数中立型方 程组的一般周期的周期解,获得了保证周期解存在、唯一的充分必要条件及一些简单的充分条件.
【Abstract】 In this paper a study of the periodic solution of linpar autonomous neutral differntial equations with delays in Presented. Using the theory of Fourier series and matrix, some necessary and sufficient conditions that ensure the existence and uniqueness of the continuous differential periodic solution is obtained. The results are found to be an improvement over priviously aviable results for linear autonomous neutral differential equations.
【关键词】 常系数线性中立型方程;
周期解;
Fourier级数;
Jordan标准形;
【Key words】 Neutral Differential Equations; Periodic solution; Fourier series;
【Key words】 Neutral Differential Equations; Periodic solution; Fourier series;
- 【文献出处】 吉林师范学院学报 , 编辑部邮箱 ,1999年05期
- 【分类号】O175
- 【下载频次】20