一类n阶脉冲时滞微分方程的振动性与渐近性  

Oscillatory and Asymptotic Properties of a n-Order Delay Differential Equation with Impulses

作　　者：周小奇[1] 廖丽媛[1] 杨远宏[1] 

机构地区：[1]湖南工业大学理学院,湖南株洲412007

出　　处：《湖南工业大学学报》2012年第2期1-5,共5页Journal of Hunan University of Technology

基　　金：湖南省教育厅教学改革基金资助项目(湘教通[2009]321号)

摘　　要：对一类n阶脉冲时滞微分方程的振动性与渐近性进行了研究,得到了方程的非振动解与其各阶导数的符号关系,以及振动性与渐近性的判别准则,并举例说明了准则的有效性。The oscillatory and asymptotic properties of n-order delay differential equations with impulses are investigated. The sign relations between the non-oscillatory solutions and all order derivatives for the equations are obtained, and the criteria on the properties are acquired. An example is given to demonstrate the effectiveness of the criteria.

关 键 词：脉冲 时滞 微分方程 振动性 渐近性 

分 类 号：O175.14[理学—数学]