一类带阻尼项的二阶强迫脉冲微分方程的区间振动准则  

Interval Oscillation Criteria for Second Order Forced Impulsive Differential Equations with Damping Term

作　　者：郭忠海[1] 王鹏飞[1] 葛谓高 

机构地区：[1]忻州师范学院数学系,山西忻州034000 [2]北京理工大学数学学院,北京100081

出　　处：《数学的实践与认识》2013年第21期284-289,共6页Mathematics in Practice and Theory

摘　　要：研究了一类带阻尼项的二阶强迫脉冲微分方程的区间振动性质,利用广义Riccati变换、不等式技巧,建立了对该类方程的El-Sayed型和Kameneve型新的振动准则.结果改进和推广了最近文献中的一些相应结论.In this paper, new interval oscillation criteria are obtained for second order Iorcect impulsive differential equations with damping term. By using generalized Riccati transformation, generalized El-Sayed type functions and Kong＇s technique, Both El-Sayed type and Kamenev type oscillation criteria for a forced impulsive differential equation are established which generalize and improve some known results.

关 键 词：区间准则 脉冲 强迫方程 阻尼项 振动性 

分 类 号：O175[理学—数学]