缓变系数线性中立型系统的稳定性  

The Stability of Slowly Varying Coefficient with the Neutral Functional Differential Equations

作　　者：辛云冰[1] 

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2010年第4期308-311,共4页Journal of Jimei University：Natural Science

基　　金：国家自然科学基金项目(10771001);福建省自然科学基金项目(A0440005)

摘　　要：利用李雅普诺夫函数方法,研究了一类具有缓变系数的线性中立型微分方程解的稳定性,主要是针对中立型微分方程的初始函数所满足的条件不需要二阶导数存在,只要求对一阶导数满足一定的条件之下,得到了零解稳定的充分条件.The stability of solution for a class of the linear neutral differential equations with slowly varying coefficient was studied by using the method of Liapunov function. Mainly aiming at the initial function of neutral differential equations satisfied by the condition which did not require the second derivative＇s existence, only require a derivative satisfying certain conditions,the sufficient conditions for the zero solution stability were obtained.

关 键 词：缓变系数 中立型系统 稳定性 

分 类 号：O175.13[理学—数学]