一类具连续偏差变元的偶数阶中立型偏泛函微分方程振动性的进一步结果

Further Oscillation Results for a Class of Even Order Neutral Partial Differential Equations with Continuous Deviating Arguments

研究了一类带有非线性扩散系数和连续偏差变元的偶阶中立型偏微分方程的振动性,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,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 nonlinear even order neutral partial differential equations with nonlinear diffusion coefficients and continuous deviating arguments are 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 generalize some of the last results.