非线性二阶中立型时滞微分方程的非振动准则

Nonoscillation criterion for second order nonlinear neutral delay differential equations

摘要: 建立了一类具有正负系数的非线性二阶中立型时滞微分方程 :d2dt2 hx(t) +px(t-τ) +Q1(t) f (x(σ1(t) ) ) - Q2 (t) g(x(σ2 (t) ) ) =0的非振动准则 ,推广和改进了 Kulenovi′c M.R.S等人的一些已知结果 .

Abstract: A nonoscillation criterion for the second order nonlinear neutral delay differential equation with both positive and negative coefficients of the form d 2dt 2hx(t)+px(t-τ)+Q 1(t)f(x(σ 1(t)))-Q 2(t)g(x(σ 2(t)))=0 are established.The results obtained improve and generalize some known results of Kulenovi′c M.R.S and others.