摘要
本文研究中立混合型微分方程的振动性.这里p,q_1,q_2,τ,σ_1,σ_2都是正常数,我们获得了方程(1)振动的明确的充要条件,该条件依据方程的系数与时滞,我们通过若干步计算就能判定方程(1)的振动性,较文献[2]来说更具实用价值和可操作性。
Consider the neutral differential equation with mixed arguments[x(t)+px(t-T)]'+q1(x(t-δ1)+q2x(t + δ2) = 0 (1)Where p,q1,q2, ,τ,δ1,δ2 are positive real numbers. We obtained explicit necessary and sufficient conditions for oscillation of Equ(l). Using these conditions associated coefficients and arguments of Equ. (l),We can verify all solution of Equ. (l)to be oscillation by the calculation of limited in number steps,Our results are more practical and operational comparing with the literature in [2].