一类二阶微分方程的振动性

Oscillation for a Class of Second Order Differential Equation

二阶微分方程y″+p(t)y =0 (其中p(t) >0 )在闭区间 [2 nto,2 n+1 to]上的振动与非振动的充分条件已得到证明 ,在更一般意义上 ,此方程在 [lnto,ln+1

Oscillation and nonoscillation criteria have been obtained for a class of second order linear differential equation y″+p(t)y″=0(p(t)>0) in [2 nt 0,2 n+1 t 0]. In fact,similar criteria can also be proved in a general interval [l nt 0,l n+1 t o].