具变系数时滞微分方程解的振动性

Oscillation of Delay Differential Equations with Variable Coefficients

研究了时滞微分方程解的振动性，其中P（t）、τ（t）非负连续．我们证明了：如果对充分大的，且，则方程（*）每一解振动．该结论改进和推广了许多已知结果．

Consider the delay differential equation x' (t)+P (t)x (τ(t))= 0, whers P (t), τ(t)∈ C ([to,∞), R+ ). We show that every solution of this equation oscillates if p (s)ds≥1/e for sufficiently large t and Many known results are improved and generalized.