二阶非线性摄动微分方程的振动性定理

Oscillation Theorems for Second Order Perturbed Nonlinear Differential Equations

本文讨论了二阶非线性摄动微分方程(a(t)x′(t))′+p(t)x′(t)+Q(t.x(t))=R(t.x(t).x′(t)) t≥t_0 (1)的解的振动性质。建立了方程(1)的两个新的振动性定理。推广并改进了已有的一些结果。

The oscillation of solutions of the second order perturoed nonlinear differential equation (a(t)x'(t))'+p(t)x'(t)+Q(t,x(t))=R(t,x(t),x' (t)) t≥t0 was discussed and two new theorems were established. Our results generalize and improve some known results.