具高阶Laplace算子的偶数阶阻尼偏微分方程解的振动准则

Oscillation criteria for even order neutral damped partial differential equations with high order Laplace operator

考虑了一类具连续分布滞量和高阶Laplace算子的偶数阶中立型阻尼偏微分方程,通过利用积分平均技巧、广义Riccati变换和引入参数函数,获得了该类方程在Robin与Dirichilet边值条件下解振动的充分条件。

A class of even order neutral damped partial differential equations with continuous distribution delay and high order Laplace operator are considered.Some sufficient conditions for each solution to be oscillation are obtained by using the integral averaging technique,the generalized Riccati transformation and introducing parameter function under Robin and Dirichilet boundary conditions.