Distribution of Zeros of Solutions of Advanced Differential Equations with One Advanced Variable

摘要

The distribution of zeros of solutions of the advanceddifferential equations with an advanced variablex′(t)-P(t)x(τ(t)) = 0, t≥ t0is studied, whereP(t) ∈ C([t0, ∞), R+), τ: [t0, ∞) →R+ are continuously differentiable and strictly increasing,τ (t) ≥ t and lim→∞τ (t) = ∞. The estimate for the distance between adjacent zeros of the oscillatory solution of the above equation is obtained.