关于连续型条件投入产出方程的一些结果——不动点与满射性方法  

Some Results on Continuous Type Conditional Input-Output Equation—— Fixed Point and Surjectivity Methods

作　　者：刘颖范[1] 陈晓红[1] 

机构地区：[1]南京航空航天大学数学系

出　　处：《应用数学和力学》2004年第3期323-330,共8页Applied Mathematics and Mechanics

摘　　要：　基于经典(矩阵型)投入产出分析,引入了一类非线性(连续型)条件Leontief模型、投入产出方程及相关的三个基本问题,即可解性、连续性和满射性,进而非线性分析的一些不动点与满射性方法被用于处理这些问题·　作为结果,得到了三个重要定理。Based on the classical(matrix type)input-output analysis,a type of nonlinear(continuous type) conditional Leontief model, input-output equation were introduced, as well as three corresponding questions, namely,solvability,continuity and surjectivity,and some fixed point and surjectivity methods in nonlinear analysis were used to deal with these questions. As a result,the main theorems are obtained, which provide some sufficient criterions to solve above questions described by the boundary properties of the enterprises consuming operator.

关 键 词：投入产出方程 可解性 连续性 满射性 不动点 上半连续 上h连续 非线性分析 

分 类 号：O29[理学—应用数学] O177.91[理学—数学]