一阶线性偏差变元微分方程解的振动性

THE OSCILLATION TO THE LINEAR DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS

本文研究一阶线性偏差变元微分方程ｘ’（ｔ）＋Ｐ（ｔ）ｘ（ｔ—τ（ｔ））＝０的解的振动性，给出了一些更精细的振动判据，改进了已有的结果．

Consider the linear differential equation with deviating argument Where P (t)≥0 and τ(t))≥0 are continuous, t-τr(t) is monotonically increasing and t-τ(t)→+∞ as t→+∞. It is proved that all solutions of(*) are oscillatory if (1) L>1-Z(m) or (2)E=min{e,Y (m,L) },0<L≤1-Z(m)