期刊论文

中文

山东大学学报(理学版)

1671-9352

2010

45

2

66-69,74

湖南省教育厅基金资助项目（07C165）； 衡阳师范学院青年科学基金资助项目（08A26）；

本校为第一机构

研究了一类具非线性扩散系数的二阶中立型阻尼偏微分方程解的振动性,通过利用Riccati变换、线性泛函算子理论和引入一类φ(t,s,l)型的新函数,获得了该方程在两类边值条件下解振动的一些新的充分条件.

The oscillation of solutions of second order neutral damped partial differential equation with a nonlinear diffusion coefficient is studied. Some new sufficient conditions for each solution to the oscillation are obtained under two kinds of boundary conditions by using Riccati transformation, theory of linear functional operator and introducing a...