超线性矩阵微分方程新的Kamenev型振动准则(英文)  

New Kamenev-type oscillation criteria for super-linear matrix differential equations

作　　者：王艳群[1] 罗李平[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421008

出　　处：《安徽大学学报（自然科学版）》2013年第3期22-26,共5页Journal of Anhui University(Natural Science Edition)

基　　金：Supported by Science Research Foundation of Administration of Education of Hunan Province(11C0185);Construct Program of the Key Discipline in Hunan Province[(2011)76];Cultivation of Young Teachers of Hengyang Normal University of China(2011)

摘　　要：通过积分平均技巧、Riccati技巧及定义新的预备解,研究了一类二阶超线性矩阵微分方程的振动性,得到这类系统新的Kamenev型振动准则,文末还给出了一个例子说明这些结果的应用.结果推广和改进了已有文献的相关结果.By using integral averaging technique, Riccati technique and defining new prepared solutions, the oscillation of second order super-linear matrix differential equations was discussed. Some new Kamenev-type oscillation criteria for the systems were obtained. An example was given at the end to illustrate the application of these results. The obtained criteria generalized and improved some known results in literature.

关 键 词：振动性 积分平均 超线性 Riccati技巧 

分 类 号：O175[理学—数学]