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| SOME RESULTS ON CONTINUOUS TYPE CONDITIONAL INPUT-OUTPUT EQUATION-FIXED POINT AND SURJECTIVITY METHODS | |
| 引用本文： | 刘颖范,陈晓红. SOME RESULTS ON CONTINUOUS TYPE CONDITIONAL INPUT-OUTPUT EQUATION-FIXED POINT AND SURJECTIVITY METHODS[J]. 应用数学和力学(英文版), 2004, 25(3): 358-366. DOI: 10.1007/BF02437339 |
| 作者姓名： | 刘颖范 陈晓红 |
| 作者单位： | DepartmentofMathematics,NanjingUniversityofAeronauticsandAstronautics,Nanjing210016,P.R.China |
| 摘 要： | 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： | 输入-输出方程 可解性 非线性分析 固定点 连续性 半连续性 |
| 收稿时间： | 2002-07-17 |
SOME RESULTS ON CONTINUOUS TYPE CONDITIONAL INPUT-OUTPUT EQUATION-FIXED POINT AND SURJECTIVITY METHODS |
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| LIU Ying-fan. SOME RESULTS ON CONTINUOUS TYPE CONDITIONAL INPUT-OUTPUT EQUATION-FIXED POINT AND SURJECTIVITY METHODS[J]. Applied Mathematics and Mechanics(English Edition), 2004, 25(3): 358-366. DOI: 10.1007/BF02437339 | |
| Authors: | LIU Ying-fan |
| Affiliation: | 1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics,Nanjing 210016, P.R. China;Department of Mathematics, Nanjing University of Post and Telecommunications,Nanjing 210003, P.R. China 2. Department of Mathematics, Nanjing University of Aeronautics and Astronautics,Nanjing 210016, P.R. China |
| 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. |
| Keywords: | input-output equation solvability continuity surjectivity fixed point upper semi-continuous upper hemi-continuous nonlinear analysis |
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