一类线性定常资产发展方程的稳定性分析  

Stability Analysis of a Linear and Stationary Investment Asset Developmental Equation

作　　者：刘会茹[1] 何俊[2] 

机构地区：[1]石家庄经济学院数理学院,河北石家庄050031 [2]郑州升达经贸管理学院共科部,河南郑州451191

出　　处：《数学的实践与认识》2015年第9期219-223,共5页Mathematics in Practice and Theory

基　　金：河南省软科学研究计划项目(142400410809)

摘　　要：将中性技术进步函数引入资产发展方程中,利用泛函分析的理论和初值比较、边界比较的方法研究该方程的解的稳定性,并得到了国民生产总值与消费水平的变化趋势,结果可为经济发展问题的研究提供了理论基础.By neutral technical progress function,we obtain a stationary investment asset developmental equation. Appling the theory of functional analysis and method of comparing the initial value and boundary value, the stability of the solution for the equation is discussed ,at the same time the change trend of GDP and consumption level are obtained. These results can provide a theoretical foundation for studying economic developmental problem.

关 键 词：资产发展方程 平衡解 稳定性 

分 类 号：O175[理学—数学]