具非线性扩散系数的偶数阶中立型偏微分方程的振动性  

Oscillation for a Class of Even Order Neutral Partial Differential Equations with Nonlinear Diffusion Coefficients

作　　者：李元旦[1] 高正晖[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421002

出　　处：《云南民族大学学报（自然科学版）》2012年第3期193-196,共4页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：湖南省教育厅科研计划项目(09C171)

摘　　要：研究了一类具非线性扩散系数的偶数阶中立型偏微分方程,通过利用广义Riccati变换和引入参数函数,得到了该类方程在Robin边值条件下所有解振动的若干充分条件.A class of even order neutral pattial differential equations with nonlinear diffusion coefficients is studied, some sufficient conditions for each solution to be oscilliation of the equation under Robin boundary condition are obtained by using the generalized Riccati transformation and introducing parameter function.

关 键 词：偶数阶 非线性 中立型方程 扩散系数 振动性 

分 类 号：O175.1[理学—数学]