| 具有时滞的利率-流通量方程的建立及其应用 |
| |
| 引用本文： | 郭志明,庾建设,雷光龙.具有时滞的利率-流通量方程的建立及其应用[J].应用数学学报,2004,27(4):702-709. |
| |
| 作者姓名： | 郭志明 庾建设 雷光龙 |
| |
| 作者单位： | 1. 广州大学数学与信息科学学院,广州,510405
2. 湖南大学数学与计量经济学院,长沙,410082 |
| |
| 基金项目： | 高等学校博士学科点专项科研基金(20020532014号)资助项目 |
| |
| 摘 要： | 本文对金融网络建立了带有时滞的利率-流通量方程，应用时滞微分方程理论，我们得到金融网络中，各节点利率最终将稳定于其基本利率的充分必要条件；给出了各节点利率均振动的充分必要条件以及存在周期解的充分必要条件。
|
| 关 键 词： | 利率 金融网络 流通量 理论 稳定 充分必要条件 时滞微分方程 周期解 节点 振动 |
THE ESTABLISHMENT AND APPLICATIONS OF INTEREST RATE-AMOUNT OF CIRCULATING FUND EQUATION WITH DELAY |
| |
| Guo Zhiming,Yu Jianshe,LEI GUANGLONG.THE ESTABLISHMENT AND APPLICATIONS OF INTEREST RATE-AMOUNT OF CIRCULATING FUND EQUATION WITH DELAY[J].Acta Mathematicae Applicatae Sinica,2004,27(4):702-709. |
| |
| Authors: | Guo Zhiming Yu Jianshe LEI GUANGLONG |
| |
| Abstract: | In this paper, we establish the Interest Rate-amount of Circulating Fund Equation with delay in finance network. By the theory of differential delay equations, necessary and sufficient condition is obtained for the global asymptotic stability and oscillation of essential interest rate of each node in finance network. Also, we get necessary and sufficient condition for the existence of periodic solutions to this equation. |
| |
| Keywords: | Interest rate amount of circulating fund delay differential equation stability oscillation periodic solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
