多时滞非线性微分方程的稳定性问题  

The Stability Problem of Nonlinear Differential Equations with Multidelay

作　　者：刘松[1] 蒋威[1] 

机构地区：[1]安徽大学数学与计算机科学学院,合肥230039

出　　处：《合肥学院学报（自然科学版）》2005年第3期1-4,13,共5页Journal of Hefei University :Natural Sciences

基　　金：国家自然科学基金(10241005);教育部重点项目(205068)资助。

摘　　要：通过讨论一类具多时滞非线性微分方程的稳定性问题,对时滞项使方程稳定,得到了微分方程稳定性的简明判据,并举例说明其应用。这与已有的文献用Liapunov方法将时滞项作为干扰处理有所不同。所考虑的方程更一般,从而所得的结果有更广泛的意义。In this paper,we consider the stability of a class of nonlinear differential equations with multidelay. Some concise stability criteria of differential equations are obtained by making equations stable with delay terms. An example is given to illustrate the main results in this paper. Different from the Liapunov way which regards the delay terms as disturber, the equations considered are more general, which make the results have much more profound meaning.

关 键 词：稳定性 不等式 时滞微分方程 单调 

分 类 号：O175.13[理学—数学]