中立型二阶微分方程的振动性

Oscillation for solutions of second order neutral differential equations

建立了不稳定型二阶中立型时滞方程一切有界解振动的若干新的充分条件,它们改进了文[1]的有关定理.

In this paper,we obtain some new sufficient conditions for all the bounded solutions of the following equation [x(t)-px(t-τ)]″=q(t)x(g(t)) to oscillate,where p∈(0,1),τ>0 are constants,q,g∈(C(R_+,R_+) are non-descreasing and lim_(t→∞)g(t)=∞ and improve theorem 4.6.1 in [1].