一类具非线性扩散系数的高阶中立型偏泛函微分方程的振动性  

Oscillation of Certain High Order Neutral Partial Functional Differential Equations with Nonlinear Diffusion Coefficients

作　　者：林文贤[1] 

机构地区：[1]韩山师范学院数学与统计学系,广东潮州521041

出　　处：《韩山师范学院学报》2014年第6期1-7,共7页Journal of Hanshan Normal University

基　　金：广东省自然科学基金项目(项目编号:S2013010013372);广东省高等教育教学改革项目(项目编号:GDJG20142396)

摘　　要：研究了一类具非线性扩散系数的高阶中立型偏泛函微分方程的振动性,借助广义Riccati变换和微分不等式技巧,获得了这类方程分别在Robin,Dirichlet边值条件下所有解振动的若干新的充分性条件,表明其振动是由时滞量引起的,所得结果推广了最近文献的相关结果.In this article, the oscillation of a class of nonlinear high order neutral partial functional differential equations with nonlinear diffusion coefficients are studied. By employing the generalized Riccati transformation and the technique of differential inequalities, some new sufficient conditions for oscillation of all solutions of such equations are obtained under Robin and Dirichlet boundary value conditions. The results fully indicate that the oscillation is caused by delay. The results generalize some latest results.

关 键 词：RICCATI变换 偏泛函微分方程 振动性 非线性扩散系数 

分 类 号：O175.27[理学—数学]