一类高阶中立型偏泛函微分方程的振动性(英文)

Oscillation of a class of high order neutral partial functional differential equations

研究了一类具有连续偏差变元的高阶非线性中立型偏泛函微分方程的边值问题解的振动性,利用平均化方法,将多维边值问题解的振动性问题转化为常微分方程及其不等式的一维振动问题进行讨论,得到了该方程所有解振动的充分性判据,所得的结果推广和包含了已知的一些结果.

The oscillation for solutions of boundary value problem of a class of high order nonlinear neutral partial functional differential equations with continuous deviating arguments is studied. By using an averaging technique, the multi-dimensional boundary value problem was reduced to a one - dimensional oscillation problem for ordinary differential equations or inequalities. The new sufficient criteria are obtained. This obtained result generalizes and includes some known conclusions.