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 continuou...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.展开更多
文摘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.