具时滞积分扰动项的非线性常微分方程解的渐近性  

Asymptotic Behaviours of Nonlinear Ordinary Differential Equation with Delay Integral Perturbation Term

作　　者：徐安石[1] 

机构地区：[1]四川大学数学系

出　　处：《重庆交通学院学报》1990年第1期54-60,共7页Journal of Chongqing Jiaotong University

摘　　要：我们利用为作者得到的一类新的积分不等式研究了如下的具时滞的微分方程:得到了解的有界性、稳定性和指数渐近稳定性的充分条件。The asymptotic behaviours of the solutions to the nonlinear differential equation of the type with delays: are studied. (53, Contioued on P. 53) Continued from P.60) The main tools used here are new integral inequalitieg. The sufficient conditions on boundedness, stability and exponential asymptotic stability of the solutions are established.

关 键 词：滞微分方程 积分不等式 有界性 

分 类 号：O175.14[理学—数学]