二阶中立型时滞阻尼微分方程的振动准则

Oscillation Criteria for Second-Order Neutral Delay Differential Equations with Damping Term

应用Riccati变换和不等式变换技巧,研究了一类二阶中立型带阻尼项多时滞微分方程[a(t)(z′(t))η]′+b(t)(z′(t))η+n∑i=1fi(t,x(σi(t)))=0t≥t0>0的振动性,其中z(t)=x(t)+m∑i=1pi(t)x(τi(t))并给出了此类方程振动的充分条件,丰富了已有研究结果.

The oscillation is studied of a second-order neutral delay differential equation with damping term [a（t）（z′（t））η]′＋b（t）（z′（t））η＋n∑i=1fi（t,x（σi（t）））=0t≥t0〉0 where z（t）=x（t）＋m∑i=1pi（t）x（τi（t））Two sufficient conditions for oscillation criteria {or the equation are obtained by Riccati trans{ormation and inequality, which enriches the results given in literature.