广义中立型Emden-Fowler方程的振动准则

Oscillation Criteria for Generalized Neutral Emden-Fowler Equations

该文建立了广义中立型Emden-Fowler方程(r(t)|y′(t)|^(α-1)y′(t))′+f(t,x(σ(t)))=0,t≥t_0的若干新的振动准则,其中α>0,y(t)=x(t)+p(t)x(7-(t)),-μ≤p(t)≤1,μ∈(0,1).所得的结果改进和推广了最近文献中的一些结果.也给出了说明所得结果的重要性的例子.

Oscillation criteria are established for generalized neutral Emden-Fowler equations of the form （r（t）｜y′（t）｜^α-1y′（t））′＋f（t,x（σ（t）））=0,t≥t0 where α〉0,y（t）=x（t）＋p（t）x（7-（t））,-μ≤p（t）≤1,μ∈（0,1） Our results improve and extend some known results in the literature, recently. Some illustrating examples are also provided to show the importance of our results.