一类具分布滞量的中立型双曲方程的振动性

Oscillation of certain neutral hyperbolic equations with distributed delays

研究一类具有连续分布滞量的中立双曲型偏泛函微分方程的振动性,借助广义Riccati变换和微分不等式技巧,获得这类方程分别在Robin、Dirichlet边值条件下所有解振动的若干新的充分性条件,表明其振动是由时滞量引起的,所得结果推广了最近文献的相关结果.

In this paper, the oscillation of a class of high order neutral partial functional differential equations with continuous deviating arguments and nonlinear diffusion coefficient was studied. By employing the generalized Riccati transformation and the technique of differential inequalities, some new sufficient conditions for oscillation of all solutions to such equations were obtained under Robin and Dirichlet boundary value conditions. The results fully indicate that the oscillation was caused by delay. The results generalized some of the last results.