偶数阶非线性中立型偏微分方程系统的振动性  

Oscillation of Systems of Even Order Nonlinear Neutral Partial Differential Equations

作　　者：罗李平[1] 欧阳自根[2] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008 [2]南华大学数学系,湖南衡阳421001

出　　处：《数学的实践与认识》2006年第9期322-328,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10471086)

摘　　要：研究一类偶数阶非线性中立型偏泛函微分方程系统解的振动性,利用微分不等式方法和黎卡提变换,获得了该类系统在两类子同边值条件下振动的若干充分条件.The oscillation of solutions to systems of certain even order nonlinear neutral partial functional differential equations is studied. By using the method of differential inequality and Riccati transformation, some sufficient conditions are obtained for oscillation of the systems under two kinds of different boundary value conditions

关 键 词：偶数阶 偏微分方程系统 非线性 中立型振动性 黎卡提变换 

分 类 号：O175.2[理学—数学]