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  

Oscillation of solutions of second order neutral damped partial differential equation with nonlinear diffusion coefficient

作　　者：曾云辉[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421008

出　　处：《山东大学学报（理学版）》2010年第2期66-69,74,共5页Journal of Shandong University(Natural Science)

基　　金：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)

摘　　要：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 class of new function Ф（ t, s, l）.

关 键 词：阻尼项 非线性扩散系数 偏微分方程 

分 类 号：O175.27[理学—数学]