变系数线性系统的稳定性

Stability of Variable Doefficient Linear Systemin Ordinary Differential Equations

给出了关于变系数线性系的稳定性判别法．方法是利用Ｂｅｌｌｍａｎ不等式和一个简单的变换，所得的判别法可应用于某些ｐｉｊ（ｔ）为无界的系统．

in this paper, the stability of trivial solutions of the linear system dx/dt= Pij(t)xj (i= 1, 2, …, n) in considered. By using the ffellrnan' s inequality and one simpletransformahon, two criteria of the stability of the trivial solutions are obtaineds in which thecoefficients may be unbounded.