二阶非线性中立型时滞泛函微分方程的振动性

Oscillation of Second Order Nonlinear Neutral Delay Differential Equations

讨论了二阶非线性中立型时滞泛函微分方程(r(t)φ(x(t))z′(t))′+q(t)f(x(σ(t)))g(t,x(t),x(′t))=0,t t0的振动性,其中z(t)=x(t)+p(t)x(τ(t)),得到了方程振动的充分条件,并推广以前文献相应的结果.

The second order nonlinear neutral type delay equation （r（t）φ（＊（t））z′（t））′＋q（t）f（x（σ（t）））g（t,x（t）,x′（t））=0,t≥t0 Where z（t） = x（t） ＋p（t）x（τ（t））is discussed. Sufficient conditions for oscillation of all solutions of the equation are obtained, and the corresponding results of the paper are extended.