管理中常见的半群结构及其应用

The Semi-Group Construction of Distributed Parameters Systems and Its Application

应用算子半群理论与无穷小分析技术 ,研究了分布参数系统的半群性质 ,给出了两种经济系统中常用的算子半群的结构及其这一类系统方程的解析解 .为重新表述经济均衡理论与混沌分析提供了有力的工具和方法 ,并以具体的最优运输管理问题为例 。

Societal economica system is a complex and large system,which can be described with the classes of distributed parameters system generally. This paper researched the properties of the semi group, gained the structure of two operators semi groups and the analyses solutions of this classes of distributed parameters systems, which provided some powerful methods for restructure equilibrium theory and chaotic analysis of complicated economic systems. At last, the reasonableness of the method was illustrated with an optimal operation of transportation system.