偶数阶拟线性偏泛函微分方程系统的振动性  

Oscillation for Systems of Even Order Quasilinear Partial Functional Differential Equations

作　　者：王友琼[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》2009年第2期13-16,共4页Journal of Natural Science of Hunan Normal University

摘　　要：研究一类偶数阶拟线性偏泛函微分方程系统的振动性质,利用微分不等式方法和Riccati变换,获得了该类系统在两类不同边值条件下所有解振动的若干充分条件,同时也给出了实际应用例子.The oscillation of systems of a class of even order quasilinear partial functional differential equations is studied. By using the method of differential inequality and Riccati transformation, some sufficient conditions are obtained for oscillation of all solutions of the systems. These results are illustrated by some examples.

关 键 词：偶数阶 拟线性 偏泛函微分方程系统 振动性 RICCATI变换 

分 类 号：O175.4[理学—数学]