Some Results on Continuous Type Conditional Input-Output Equation——Fixed Point and Surjectivity Methods
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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，这些定理给出了用企业的消耗算子的边界性质描述的解答如上问题的一些充分性准则．Abstract: 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.
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