连续系统中厂商竞争的稳定条件  

Continuous System Vendors of the Stability Condition

作　　者：谢守波[1] 周莉[1] 

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006

出　　处：《哈尔滨理工大学学报》2011年第2期114-117,共4页Journal of Harbin University of Science and Technology

基　　金：黑龙江省教育厅科研项目(11541097)

摘　　要：稳定性的数学模型研究的对象是动态过程,而建模的目的是研究时间充分长以后过程的变化趋势以及平衡状态是否稳定.一般采用微分方程稳定性理论研究平衡状态的稳定性.在一定条件下如何控制才能使得产量最大或效益最佳.本论文主要讨论生产同质商品的寡头对市场价格有不同程度影响时的产量稳定性分析.在连续时间模型中,对一般的非线性价格函数,得到局部稳定的必要条件,当价格函数是拟线性时,本文给出一个全局稳定条件,在这里我们将看到,为了保证全局稳定性,对市场价格的影响程度不能太低.The research object of a mathematical model of stability is a dynamic process and modeling is intended to investigate over the prolonged time the changing tendency and whether the equilibrium will be in a stable state.The stability theory of differential equations is commonly used to study the stability of equilibrium and under certain conditions how to control so as to get the maximum output or the greatest amount of profit.This paper mainly discusses the output stability analysis when oligopolis manufacturing the same type of goods have impact of various degrees on market price.In the continuous time model,the necessary conditions are offered for local stability in the case of the common nonlinear price function while the paper provides a global stability condition in the case of the quasilinear price function.The paper is going to show that in order to ensure global stability,the degree to which market prices are affected can not be too low.

关 键 词：古诺调整过程 局部渐进稳定 全局渐进稳定 

分 类 号：O158[理学—数学]