带阻尼项的三阶脉冲微分方程的振动性与渐近性  

Oscillatory and Asymptotic Property of Third Order Impulsive Differential Equations with Damping Term

作　　者：叶国炳[1] 周小奇[1] 李世国[1] 

机构地区：[1]湖南工业大学理学院,湖南株洲412007

出　　处：《数学的实践与认识》2011年第1期153-158,共6页Mathematics in Practice and Theory

基　　金：湖南省教育厅基金(10C0656)

摘　　要：解决了一类带阻尼项的三阶脉冲微分方程的非振动解与其一阶、二阶导数的符号关系,用迭代法得到其振动性与渐近性的判别准则,并举例说明准则的有效性.The sign relations between the non-oscillatory solutions for a class of third order impulsive differential equations with damping term and their derived functions of first and second order are settled.We use the iteration method to derive some criterions about the oscillatory and asymptotic properties of the solutions to the equations.Finally one example is given to demonstrate the effectiveness of the criterions.

关 键 词：阻尼项 脉冲微分方程 振动性 渐近性 

分 类 号：O175[理学—数学]