摘要
研究了一类具有扩散系数的时滞量非线性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,获得了这类方程分别在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 article, the oscillation of a class of nonlinear neutral hyperbolic partial differential equations with continuous deviating arguments and diffusion coefficient is studied. By employing the generalized Riccati transformation and the technique of differential inequalities, some new sufficient conditions for oscillation of all solutions of such equations are obtained under Robin and Dirichlet boundary value conditions. The results fully indicate that the oscillation is caused by delay. The results generalize some the lastest results.
出处
《韩山师范学院学报》
2013年第3期7-11,共5页
Journal of Hanshan Normal University
关键词
双曲型
偏泛函微分方程
振动性
扩散系数
hyperbolic
partial functional differential equation
oscillation
diffusion coefficient
