EMDEN-FOWLER型微分方程解的振动性

ON OSCILLATION OF SOLUTION FOR EMDEN-FOWLER TYPE DIFFERENTIAL EQUATION

讨论Emden-Fowler型微分方程 x″(t)+q(t)|x(σ(t))|~a sgnx(σ(t))=0 0【α【1的解的振动性质。得到了三个新的定理,推广和改进了已有的一些结果。

Discusses the oscillation of Emden-Fowler differential equationx″(t)+q(t)|x(σ(t))|~α sgnx (α(t))=0 t∈[t_0, ∞), t_0≥0,0<α<1On the basis, three new theorems are established.