【摘要】 利用Ｆｏｕｒｉｅｒ级数理论讨论了一类高阶中立型方程的周期解问题·所得结果改进了司建国（应用数学和力学，第１７卷１期：关于高阶常系数中立型方程周期解的讨论）的主要结果，即将该文定理１的条件｜ｂ０｜＜１／２改为｜ｂ０｜≠１，从而该文的其它定理也可相应得到改进更多还原

【Abstract】 In this paper, by using the theory of Fourier series, some necessary and sufficient conditions of existence and uniqueness of periodic solutions of a class of higher order neutral type equations are obtained. The main results by Shi Jianguo in“Discussion on the periodic solutions for linear equation of neutral type with constant coefficients” are improved, i.e., the condition |b 0|≠1 instead of the condition |b 0|<1/2 of Theorem 1 by Shi Jianguo is given. Other theorems by Shi are rebuilt and improved according to the new assumption.更多还原