周期系数线性系的若干性质  

The properties of periodic linear coefficient

作　　者：邹长武[1] 史金麟[1] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350108

出　　处：《福州大学学报（自然科学版）》2010年第3期330-335,共6页Journal of Fuzhou University(Natural Science Edition)

基　　金：福建省教育厅科研资助项目(JB08023)

摘　　要：周期系数二阶线性方程x″+p(t)x′+q(t)x=0,其特征根实部为负不能保证渐进稳定性,因此与常系数二阶线性系有重大差别.但二者也有不少相同或相近之处.本文讨论当p(t),q(t)满足各种条件时,方程x″+p(t)x′+q(t)x=0的特征指数的特性,并指出其与常系数二阶线性系的性质异同.Periodic second-order equation x″＋p（t）x＇＋q（t）x=0,the real parts of characteristic roots are neggative so that it cannot make sure the asymptotic stability.Therefore,there are big differences from constant second-order system.However,if analyzed carefully,there are quite a lot same or similar parts.This differences and similarities between them is discussed in this paper.This paper analyzes the characteristic exponents of the equation x″＋p（t）x＇＋q（t）x=0 with different p（t）and q（t）.

关 键 词：周期系数 常系数 二阶线性系 比较 

分 类 号：O175.1[理学—数学]