二阶中立型时滞微分方程的区间振动准则

Interval Oscillation Criteria for Second Order Nonlinear Delay Differential Equation of Neutral Type

利用平均函数技巧,对二阶中立型时滞微分方程建立了一些区间振动准则,这些振动准则不同于已知依赖于整个[t0,∞)性质的结果,而是仅依赖于[t0,∞)上的子区间列的性质.

By means of the averaging technique, a new oscillation criteria for second order nonlinear delay differential equation of neutral type is obtained. These results are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of I = [ t0, ∞ ）, rather than on the whole half-line.