多时滞的某类二阶泛函微分方程的稳定性

The Stability of a Certain Kind of Second Order Functional Differential Equations with Multi-delay

二阶变系数时滞微分方程的稳定性研究在物理学、生物学和控制论等领域有重要应用.对多时滞的某类二阶泛函微分方程的稳定性进行了探讨,运用向量变换、李雅普诺夫第二方法和一些稳定性理论,得到了方程在一定条件下的稳定性准则,在理论研究和现实运用中都具有一定的意义.

The study of stability of second order delay differential equations with variable coefficients is widely applied in the field of physics, biology and cybernetics and so on. The stability of a certain kind of second order functional differential equations with multi-delay is discussed. With the help of vector transformation, the second Liapunov method and sone other stability theorems, some principles concerning the stability of this kind of equations are obtained, which is meaningful both in theory study and realistic application.