三阶非线性泛函微分方程的振动性

Oscillation Criteria for Third Order Nonlinear Functional Differential Equations

文章主要研究了三阶非线性泛函微分方程1/p(t)1r(t)x′(t)′′=Q(t)f(x)+R(t)h(x) when∫∞t0r(t)∫st0p(u)duds=∞分别在满足条件∫∞t0r(t)∫st0p(u)duds=∞和∫∞t0r(t)∫st0p(u)duds<∞时的振动准则,因此我们的结果不同于已有文献的一些结果.

To study the oscillation criteria for a class of third order nonlinear functional differential equation 1/p（t）1r（t）x′（t）′′=Q（t）f（x）＋R（t）h（x） when∫∞t0r（t）∫st0p（u）duds=∞.The other case ∫∞t0r（t）∫st0p（u）duds∞ is also included.So,our results are different from most known ones in the sence.