一类高阶时滞偏微分方程解的振动性

Oscillation of solutions for a class of high order partial differential equations with delay

研究一类高阶中立型时滞偏微分方程解的振动性,获得了一些新的充分判据,所得的结果推广和包含了已知的一些结果,方程中某些项的参数出现在判定条件中,在某种程度上,定量地表明了某些项在决定方程的振动中所起的作用.

The oscillation of solutions for a class of high order neutral partial differential equations with delays is discussed. Some new sufficient criteria are established. These results generalize and include some known conclusions. To some extent, the determinant conditions,in which the parameters of some terms in the equation appear,indicate the function of these terms in determining the oseillation of the equation quantificationally.