| 离散大系统周期解的存在性 |
| |
| 引用本文： | 苏美玉.离散大系统周期解的存在性[J].河南师范大学学报(自然科学版),1988(1). |
| |
| 作者姓名： | 苏美玉 |
| |
| 作者单位： | 河南师范大学数学系 |
| |
| 摘 要： | 本文的目的在于综合运用比较原理和李雅普诺夫函数分解法来讨论离散大系统周期解的存在性问题.首先改进了文2]中的一个充分条件(Th1).主要结果是分别运用标量和向量李雅普诺夫函数分解法给出了离散大系统(3.1)的T-周期的存在性的充分条件(Th2.Th 3.).作为标量法的例子考虑线性离散大系统(ρ),得到了(ρ)存在T一周期解的较文7]更简单的条件(Th4.).
|
| 关 键 词： | 离散系统 比较定理 李雅普诺夫函数分解法 T-周期解 |
EXISTENCE OF PERIODIC SOLUTIONS OF LARGE SCALE DISCRETE SYSTEMS |
| |
| Su Meiyu.EXISTENCE OF PERIODIC SOLUTIONS OF LARGE SCALE DISCRETE SYSTEMS[J].Journal of Henan Normal University(Natural Science),1988(1). |
| |
| Authors: | Su Meiyu |
| |
| Abstract: | One of the most useful techniques in Liapunov Stability theory for ordinary and functional differential equations is the comparison method. The main purpose of this Paper is to apply the Liapunov direct method and the comparison method to the Problem of existence of Periodic solutions of large scale discrete systems. We obtain some sufficient conditions about the Problem for(3.1), using the decomposition method of Liapunov functions. As an example, we apply the result to Linear discrete systems (φ), and get a better condition for the existence of T-periodic solution of Large scale systems (φ) than parper7] |
| |
| Keywords: | Discrete systems Comparison Principle Decompsition method of liapunov functions T-periodic solutions |
| 本文献已被 CNKI 等数据库收录！ |
