脉冲时滞向量双曲型方程解的振动性  

Oscillation Properties of Solutions for Certain Impulsive Vector Hyperbolic Differential Equations with Time Delays

作　　者：别群益[1] 鲁元海 

机构地区：[1]三峡大学理学院,湖北宜昌443002 [2]中山市东区中学,广东中山528403

出　　处：《三峡大学学报（自然科学版）》2008年第5期88-90,99,共4页Journal of China Three Gorges University：Natural Sciences

基　　金：湖北省教育厅自然科学基金项目(Q200713001)

摘　　要：研究一类具脉冲时滞的双曲型向量泛函微分方程解的振动性.方法是采用由Domslak引进的H-振动性的概念,将向量微分方程解的振动问题转化为标量微分不等式正解和负解的不存在性问题,得到了若干解的H-振动性的判别准则.The oscillatin properties of solutions for impulsive vector hyperbolic differential equations with time delays are studied. The approach is to reduce the oscillation problems to the nonexistence of positive and negative solutions of scalar differential inequalities by employing the concept of H-oscillation introduced by Domslak. Several oscillation criteria are obtained.

关 键 词：振动性 向量微分方程 双曲型 脉冲 

分 类 号：O175[理学—数学]