二阶非线性中立型时滞微分方程的振动准则

Oscillation Criteria for the Second-order Nonlinear Neutral Delay Differential Equations

文章考虑二阶非线性中立型微分方程a(t)x(t)+∑li=1ci(t)x(t-τi(t))″+∑mi=1pi(t)fi(x(t-δi(t)))-∑ni=1qi(t)gi(x(t-σi(t)))=0的振动性,获得了该方程所有解振动的充分条件,推广了有关文献的结果.

Some oscillation criteria for the second order nonlinear neutral delay differential equations[a（t）x（t）＋1∑i-icr（t）x（t-ri（t））]＋m∑i=lPi（t）fi（x（t-δi（t））-n∑i=1qi（t）gi（x（t-σi（t）））=0,t〉0are established in this paper, we give sufficient conditions for the oscillation of all soiutions. And the results of some re[erences have been extended.