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高维时滞微分差分不等式及其应用
引用本文:贾保国. 高维时滞微分差分不等式及其应用[J]. 中山大学学报(自然科学版), 1997, 36(2): 42-47
作者姓名:贾保国
作者单位:中山大学计算机科学系
摘    要:证明了一个高维时滞微分差分不等式.用这个不等式和推广的Alekseev公式,研究了非线性中立型系统零解的稳定性

关 键 词:拟单调增,指数稳定,渐近稳定

A Differential Difference Inequality with a Bounded Delay in Higher Dimensional Spaces and Its Application
Jia Baoguo. A Differential Difference Inequality with a Bounded Delay in Higher Dimensional Spaces and Its Application[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 1997, 36(2): 42-47
Authors:Jia Baoguo
Affiliation:Jia BaoguoDepartment of Computer Science,Zhongshan University,Guangzhou 510275
Abstract:Get a Differential Difference Inequality with a Bounded Delay in higher dimensional spaces. Then by means of the inequality and the improved Alekseev formula research the stability of zero solutions of a class of nonlinear neutral systerns with a changable delay.
Keywords:quasi monotone increasing function   exponential stability   asymptotical stability
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