Emden-Fowler型泛函微分方程的振动准则

Oscillation Criteria for Functional Differential Equations of Emden-Fowler Type

建立了Emden-Fowler型泛函微分方程(r(t)|z′(t)|^(α-)z′(t))′+q(t)f(x(σ(t)))=0,t≥t_0.的若干新的振动准则,其中α>0,z(t)=x(t)+p(t)x(τ(t)).结果改进和推广了最近文献的一些熟知的结果,并且给出了说明所得结果的重要性的一些例子.

Some new oscillation criteria are estabhshed for functional differential equations of Emden-Fowler type of the form（r（t）｜z′（t）｜^（α-）z′（t））′＋q（t）f（x（σ（t）））=0,t≥ t_0.where α≥0 and z（t）=x（t） ＋ p（t）x（τ（t））.Our results improve and extend some known results in the literature,recently.Several illustrating examples are also provided to show the importance of our results.