二、三阶线性微分方程的Liapunov型不等式

On Liapunov Type Inequalities for Differential Equations of Second Order and Third Order

利用形如x″ +P1 x′+Q1 x=0的二阶线性微分方程和x +P1 0 x″ +Q1 0 x′ +R1 0 x =0的三阶线性微分方程的不变量与不变量组和因变量变换 ,对二、三阶线性微分方程进行了研究 ,得到了其系数满足的Liapunov型不等式 。

In this paper the invariant of linear differential equations and the variable transformation are used to study the Liapunov-type inequalities for the coefficients of linear differential equations of the form x″+P 1x′+Q 1x=0 and x+P 10x″+Q 10x′+R 10x=0. Some known results are unified.