一类具连续偏差变元的非线性中立双曲型偏泛函微分方程的振动性(英文)

Oscillation of Certain Nonlinear Neutral Hyperbolic Partial Functional Differential Equations with Continuous Distribution Arguments

研究了一类具有连续偏差变元的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和Dirichlet边值条件下所有解振动的若干新的充分性条件,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 is studied.By employing the generalized Riccati transformation and the technique of differential inequalities,some new suffcient 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.