Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (3): 358-366.

• 论文 • 上一篇    

SOME RESULTS ON CONTINUOUS TYPE CONDITIONAL INPUT-OUTPUT EQUATION-FIXED POINT AND SURJECTIVITY METHODS

刘颖范1,2, 陈晓红1   

  1. 1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R. China;
    2. Department of Mathematics, Nanjing University of Post and Telecommunications, Nanjing 210003, P.R. China
  • 收稿日期:2002-07-17 修回日期:2003-10-06 出版日期:2004-03-18 发布日期:2004-03-18

SOME RESULTS ON CONTINUOUS TYPE CONDITIONAL INPUT-OUTPUT EQUATION-FIXED POINT AND SURJECTIVITY METHODS

LIU Ying-fan1,2, CHEN Xiao-hong1   

  1. 1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R. China;
    2. Department of Mathematics, Nanjing University of Post and Telecommunications, Nanjing 210003, P.R. China
  • Received:2002-07-17 Revised:2003-10-06 Online:2004-03-18 Published:2004-03-18

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 enterprises consuming operator.

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 enterprises consuming operator.

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