关于分断常变元时滞微分方程解的振动性

Oscillation for Solutions of Delay Differential Equations with Piecwise Constant Argument

考虑分段常变元时滞微分方程x′(t) +a(t)x(t) +b(t)x([t-l]) =0的振动性 ,其中a(t)和b(t)是在 [-k ,∞ )上的连续函数 ,b(t)≥ 0 ,k是正整数 [·]表示最大整函数 。

Consider the delay differential equation with piecewise constant argument x′(t)+a(t)x(t)+b(t)x()=0,where a(t) and b(t) are continuous functions on [-k,∞),b(t)≥0,k is a positive integer and [·] denotes the greatest integer function.some new oscillation are obtained.