非线性脉冲向量双曲型微分方程解的H-振动性  

H-oscillation Properties of Nonlinear Impulsive Vector Hyperbolic Differential Equations

作　　者：别群益[1] 马德宜[1] 

机构地区：[1]三峡大学理学院,湖北宜昌443002

出　　处：《数学的实践与认识》2009年第9期225-230,共6页Mathematics in Practice and Theory

基　　金：湖北省教育厅自然科学基金(Q200713001)

摘　　要：研究一类具脉冲时滞的非线性双曲型向量泛函微分方程解的H-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纯量微分不等式正解和负解的不存在性问题.得到了解的H-振动性的若干判别准则.Nonlinear impulsive vector hyperbolic differential equations are studied and the H-oscillations of solutions are investigated. Our 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 H-oscillation criteria are obtained.

关 键 词：H-振动性 向量微分方程 双曲型 脉冲 

分 类 号：O175[理学—数学]