时滞方程振动性的一个注记(英文)

A Note on Oscillation of Delay Equations

研究时滞微分方程x′(t) +p(t)x(τ(t) ) =0 ,t≥t0 的振动性质 ,其中p,τ∈C( [t0 ,∞ ) ,R+ ) ,R+ =[0 ,∞ ) ,τ(t)不减 ,τ(t) <t,t≥t0 ,并且limt→∞τ(t) =∞ .获得了新的振动准则 .

This is a discussion of the oscillatory properties of first order delay differential equations of the form x'(t) + p(t) x(τ(t)) = 0, t ≥ t0, where p, τ∈ C([t0, ∞), R+), R+ = [O, ∞), τ(t) is non-decreasing, τ(t) 0 and lim τ(t ) = ∞. New oscillation criteria are obtained.