离散微分代数系统的有界性及周期解的存在性  

Boundary and Existence of Periodic Solution to Discrete Differential Algebraic Systems

作　　者：龚文振[1] 梁家荣[2] 

机构地区：[1]玉林师范学院数学与计算机科学系,广西玉林537000 [2]广西大学计算机与电子信息学院,南宁530004

出　　处：《桂林工学院学报》2005年第2期259-262,共4页Journal of Guilin University of Technology

基　　金：国家自然科学基金资助项目(60064002);教育部留学回国人员科研启动基金资助项目(教外司留[2004]527);广西自然科学基金资助项目(桂科自0448001)

摘　　要：研究离散微分代数系统的解的有界性,得出若一个具有周期性质的离散微分代数系统的解是最终有界的,则必存在周期解.利用广义Lyapunov函数研究一类离散微分代数大系统,给出了其存在周期解的充分条件.From the study on the boundary of solution to discrete differential-algebraic systems,it is concluded that if the solution to discrete differential-algebraic system periodically is ultimately bounded,there must be a periodic solution to the system.When Lyapunov function is employed to study a class of discrete differential-algebraic system, the sufficient condition is found in the periodic solution to the discrete differential-algebraic system provided.

关 键 词：微分代数系统 周期解 有界性 

分 类 号：O155[理学—数学]