LIU Ying-fan, CHEN Xiao-hong. Some Results on Continuous Type Conditional Input-Output Equation——Fixed Point and Surjectivity Methods[J]. Applied Mathematics and Mechanics, 2004, 25(3): 323-330.
Citation: LIU Ying-fan, CHEN Xiao-hong. Some Results on Continuous Type Conditional Input-Output Equation——Fixed Point and Surjectivity Methods[J]. Applied Mathematics and Mechanics, 2004, 25(3): 323-330.

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

  • Received Date: 2002-07-17
  • Rev Recd Date: 2003-10-06
  • Publish Date: 2004-03-15
  • 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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  • [1]
    潘吉勋,张顺明.经济均衡的数学原理[M].长春:吉林大学出版社,1997.
    [2]
    张金水.可计算非线性动态投入产出模型[M].北京:清华大学出版社,2000.
    [3]
    LI Luo-luo.An improvement on Ky-Fans theorem of matrix eigenvalues[J].Linear Algebra and Its Applications,1998,279(1):111—117. doi: 10.1016/S0024-3795(98)00010-X
    [4]
    刘秀红.关于矩阵特征值Ky-Fan定理的另一个改进[J].应用数学,2001,14(2):13—16.
    [5]
    Aubin J P,Ekeland I.Applied Nonlinear Analysis[M].New York:John Wiley & Sons, 1984.
    [6]
    张石生.不动点理论及其应用[M].重庆:重庆出版社,1984.
    [7]
    Istrtescu Vasile I.Fixed Point Theory—An Introduction[M].Dordrechet, Holland/Boston, U S A:D Reidel Publishing Company, 1981.
    [8]
    Aubin J P. Optima and Equilibria-An Introduction to Nonlinear Analysis[M].New York:Springer-Verlag/Beijing:World Publishing Corporation,1998.
    [9]
    Aubin J P, Frankowska H. Set-Valued Analysis[M].Boston,Basel, Berlin:Birkhuser,1990.
    [10]
    Aubin J P.Mathematical Methods of Game and Economic Theory[M].Amsterdam:North-Holland,1979.
    [11]
    Rockafellar R T.Convex Analysis[M].Princeton,New Jersey:Princeton University Press,1970.
    [12]
    俞鑫泰.Banach空间几何理论[M].上海:华东师范大学出版社,1986.
    [13]
    Holmes R B.Geometric Functional Analysis and Its Applications[M].New York, Berlin:Springer-Verlag,1975.
    [14]
    Yosida K.Functional Analysis[M].New York,Berlin:Springer-Verlag,1965.
    [15]
    王耀东.偏微分方程的L2理论[M].北京:北京大学出版社,1989.
    [16]
    Wloka J.Partial Differential Equations[M].Cambridge, London:Cambridge University Press,1987.
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