| 关于一类条件投入产出方程的可解性定理 |
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| 引用本文： | 刘颖范,陈天平.关于一类条件投入产出方程的可解性定理[J].数学年刊A辑(中文版),2004(6). |
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| 作者姓名： | 刘颖范 陈天平 |
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| 作者单位： | 南京航空航天大学数学系，复旦大学数学系 南京 210016 南京邮电学院数学系，南京 210003，上海 200433 |
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| 基金项目： | 苏州长风有限责任公司(NUAA2001-081-001)资助的项目. |
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| 摘 要： | 本文引入了一类基于企业消耗与市场需求的条件投入产出方程,在适当的基本假设下,用非线性分析方法对这类方程分别包含存在性,连续性及满射性的可解性问题作了初步研究.由此获得本文的主要结果并给出相应的经济解释.
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| 关 键 词： | 存在性 连续性 满射性 上半连续 上h半连续 非线性分析 |
A SOLVABILITY THEOREM ON A CLASS OF CONDITIONAL INPUT-OUTPUT EQUATION |
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| LIU Yingfan CHEN Tianping.A SOLVABILITY THEOREM ON A CLASS OF CONDITIONAL INPUT-OUTPUT EQUATION[J].Chinese Annals of Mathematics,2004(6). |
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| Authors: | LIU Yingfan CHEN Tianping |
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| Institution: | LIU Yingfan CHEN TianpingDepartment of Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China. Department of Mathematics,Nanjing University of Post and Telecommunications,Nanjing 210003,China. Department of Mathematics,Fudan University,Shanghai 200433,China. |
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| Abstract: | This paper introduces a class of conditional input-output equation based on the enterprise's consuming and the demand of the market. Under some proper basic assumptions, primary researches by means of nonlinear analysis methods are devoted to the solvability question respectively including the existence, continuous dependence, and surjection, from which the authors obtain the main theorem and give some corresponding economic explanations. |
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| Keywords: | Existence Continuity Surjection Upper-semi continuous Upper-hemi continuous Nonlinear analysis |
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