常系数线性中立型方程的周期解  

Periodic Solution of Linear Autonomous Neutral Differential Equations with Delays

作　　者：张德昌[1,2] 戎海武[1,2] 

机构地区：[1]西北工业大学 [2]广东佛山科学技术学院理工分院

出　　处：《工程数学学报》1999年第1期9-16,共8页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金

摘　　要：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便的充分条件。Abstract In this paper a study of the periodic solution of linear autonomous neutral differntial equations with delays is 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 中立型方程 周期解 线性微分方程 

分 类 号：O175.1[理学—数学]