| 奇线性的动态投入-产出问题 |
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| 引用本文： | 林武忠.奇线性的动态投入-产出问题[J].华东师范大学学报(自然科学版),1986(2). |
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| 作者姓名： | 林武忠 |
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| 作者单位： | 华东师范大学数学系 |
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| 摘 要： | 本文从推导没有联合生产和生产时滞的动态投入产出模型出发,利用奇摄动方法处理了资本货物矩阵为奇异或近似奇异的情形。结果发现产品的初始产量向量应位于某稳定流形上,否则将出现边界层现象,从而经济系统将很快失去平衡。
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| 关 键 词： | 投入-生产 动态模型 资本货物 联合生产 奇异摄动 渐近展开 边界层 小参数 |
Singular Linear Dynamic Input-output Problem |
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| LIN WUZHONG.Singular Linear Dynamic Input-output Problem[J].Journal of East China Normal University(Natural Science),1986(2). |
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| Authors: | LIN WUZHONG |
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| Institution: | Department of Mathematics |
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| Abstract: | Under the assumption of no joint production and no production lags,the continuous time Leontief model is considered in this paper.When the capital goods matix is singular,the dynamic linear model is dealt with singular perturbation method.It is found that the initial amount vector of commodities in the economic system must be on an initial stable manifold,otherwise the boundary layer phenomenon will arise and the equilibrium will be destroyed quickly in the system. |
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| Keywords: | input-output dynamic model capital goods joint production singular porturbation asymptotic expand boundary layer small parameter |
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