论文标题
关于线性基质哈密顿系统的振荡
On the oscillation of linear matrix Hamiltonian systems
论文作者
论文摘要
Riccati方程方法用于为线性基质汉密尔顿系统建立新的振荡标准。新方法可以扩展并完成由S. Kumary和S. Umamaheswaram获得的结果。研究了沿新方向的线性基质汉密尔顿系统的振荡问题，即打破施加在系统系数之一上的积极确定条件。提供了一些示例，用于将获得的结果彼此比较，并与S. kumary和S. umamaheswaram进行比较，并说明了这些结果的适用性。
The Riccati equation method is used to establish new oscillation criteria for linear matrix Hamiltonian systems. New approaches allow to extend and completed a result, obtained by S. Kumary and S. Umamaheswaram. The oscillation problem for linear matrix Hamiltonian systems in a new direction, which is to break the positive definiteness condition, imposed on one of the coeffcients of the system, is investigated. Some examples are provided for comparing the obtained results with each other and with the result of S. Kumary and S. Umamaheswaram, as well as to illustrate the applicability of these results.
