一类非线性中立型双曲微分方程的振动性

Oscillation of certain nonlinear neutral hyperbolic differential equations

研究一类具有连续分布滞量的非线性中立型双曲方程解的振动性质.利用Jensen不等式和直接分析方法,获得了一类具连续分布滞量的非线性中立型双曲微分方程所有解振动的若干充分条件.

To study the oscillatory of solutions to a class of nonlinear neutral hyperbolic differential equation with continuous distributed delay. The Jensen＇ s inequality and a direct analysis technique were used. Some sufficient conditions for the oscillation of all solutions of nonlinear neutral hyperbolic differential equation with continuous distributed delay were obtained.