一类偶数阶中立型阻尼偏微分方程解的振动性

Oscillation of solutions to a class of even order neutral damped partial differential equations

研究一类具有阻尼项的偶数阶中立型偏微分方程解的振动性,通过利用Riccati变换、引入参数函数,获得该类方程在Robin,Dirichlet边值条件下振动的充分判据.

Oscillatory properties of solutions to a class of even order neutral damped partial differential equations were studied. Some criteria of sufficient conditions for the oscillation of all solutions of the equations were obtained under Robin and Dirichlet boundary conditions by making use of Riccati trans-formation and introducing parameter function.