带非线性扩散项的中立双曲型方程的振动判据  

Oscillation Criteria of Neutral Hyperbolic Equations with Nonlinear Diffusion Term

作　　者：蒋明霞[1] 

机构地区：[1]湖南工业职业技术学院商贸旅游系,中国长沙410208

出　　处：《湖南师范大学自然科学学报》2011年第6期12-15,39,共5页Journal of Natural Science of Hunan Normal University

基　　金：湖南省教育科学"十二.五"规划课题资助项目(XJK011BWZJ031)

摘　　要：讨论一类具非线性扩散项的中立双曲型方程的振动性,利用广义Riccati变换和微分不等式方法,得到了该类方程在两类不同边值条件下所有解振动的若干新的充分条件.The oscillation of a class of neutral hyperbolic equations with nonlinear diffusion term is discussed and some new sufficient conditions for oscillation of all solutions of such equations are obtained under two kinds of different boundary value conditions by using the generalized Riecati transformation and the method of differential inequalities.

关 键 词：振动性 双曲型方程 中立型 广义Riccati变换 非线性扩散项 

分 类 号：O175.27[理学—数学]