非线性无穷时滞微分系统的稳定性  

Stability for Nonlinear Differential Systems with Infinite Delay

作　　者：斯力更[1] 马万彪 

机构地区：[1]内蒙古师范大学数学系

出　　处：《数学学报（中文版）》1995年第3期412-417,共6页Acta Mathematica Sinica：Chinese Series

基　　金：国家和内蒙古自然科学基金

摘　　要：本文主要内容是：（１）在局部条件下，建立了一类具有无穷时滞的非线性的正、反向积分微分不等式；（２）结合常数变易法和Ｌｉａｐｕｎｏｖ函数法（不必寻找Ｐ－函数），利用所建立的不等式研究了非线性无穷时滞微分系统的稳定性；（３）举例说明了本文定理的应用和优点。The main purpose of this paper is as follows:(1)to establish some nonlinear integro-differential inequalities with infinite delay and theinverse inequalities under the local conditions;(2)to study the stability of the nonlinear differen-tial systems with infinite delay by using the method of variation of constants, Liapunov function(need not find P-function)and the inequalities established;(3)to give some examples to showthe application and advantage of the theorems in the paper.

关 键 词：无穷时滞 稳定性 时滞微分系统 非线性 

分 类 号：O175.13[理学—数学]