具有阻尼项的中立型Emden-Fowler方程的区间振动准则

An Interval Oscillation Criteria for Neutral Emden-Fowler Equations with a Damping Term

通过利用积分平均技巧和Young不等式,获得了具有时滞和阻尼项的中立型Emden-Fowler方程的区间振动准则,推广和改进了文献中的结果,且它不同于大多数振动结果依赖于整个区间[to,∞)的性质,而是仅依赖于半直线上的某些子区间列的性质.它还适用于极端情形,如∫to∞q(t)dt=-∞.

Abstract： By using integral averaging technique and Young＇ s inequahy, a new interval oscllation criteria for the neutral Emden-Fowler equation with delays and a damping term is obtained, which generalize and im-pore some previous results. The result is different from most known ones the sense .It is based on the informa-tion only on a sequence of subintervals on [t0, ∞）, rather than on the whole half-line and can be applied to ex-treme cases such as∫l0∞q（t）dt=-∞.