偶数阶非线性中立型偏微分方程组的振动性  

Oscillation of Systems of Even Order Nonlinear Neutral Partial Differential Equations

作　　者：胡兆文 唐吉柱[2] 罗李平[2] 

机构地区：[1]永兴县第一中学,湖南永兴423300 [2]衡阳师范学院数学系,湖南衡阳421008

出　　处：《衡阳师范学院学报》2007年第6期7-13,共7页Journal of Hengyang Normal University

基　　金：湖南省教育厅科研项目资助(07C164)

摘　　要：讨论了一类偶数阶非线性中立型偏微分方程组解的振动性,利用微分不等式方法和黎卡提变换,获得了这类方程组在Robin和Dirichlet边值条件下振动的若干充分判据,所得结果推广和包含了已知的一些结论,并通过一些例子加以阐明.This paper discusses the oscillation of solutions to systems of certain even order nonlinear neutral delay partial differential equations. By using the method of differential inequality and Riccati transformation, some sufficient criteria are obtained for oscillation of such systems under Robin and Dirichlet boundary value conditions. These results generalize and include some known conclusions and are illustrated by some examples.

关 键 词：偶数阶 非线性中立型 偏微分方程组 振动性 黎卡提变换 

分 类 号：O175.4[理学—数学]