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

Distribution of Zeros of Solutions of Advanced Differential Equations with One Advanced Variable
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摘要 The distribution of zeros of solutions of the advanced differential equations with an advanced variable x′(t)-P(t)x(τ(t))=0,t≥t0 is studied, where P(t)∈C([t0,∞),R^+),τ:[t0,∞)→R^+ are continuously differentiable and strictly increasing,τ(t)≥t and limt→∞τ(t)=∞.The estimate for the distance between adjacent zeros of the oscillatory solution of the above equation is obtained. 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.
作者 王彬 叶海平
出处 《Journal of Donghua University(English Edition)》 EI CAS 2005年第5期81-85,共5页 东华大学学报(英文版)
关键词 distribution of zeros differential equation advanced variable 零分布 微分方程 前置变量 连续可微
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