MATRIX-FUNCTION TYPE INPUT-OUTPUT EQUATION

Yingfan Liu (P. R. China)

Received August 3, 2007

References:

[1] J. P. Aubin and I. Ekeland, Applied Nonlinear Analysis, John Wiley & Sons, New York, 1984. [2] J. P. Aubin and H. Frankowska, Mathematical Methods of Game and Economic Theory, North-Holland, Amsterdam, 1979. [3] Takao Fujimoto, Non-linear Leontief models in abstract spaces, J. Math. Economics 15(2) (1986), 151-156. [4] W. Leontief, Input-output analysis, Reprinted from the Encyclopedia of Materials Science and Engineering, Pergamon Press, Oxford, 1985. [5] Y. F. Lin and T. P. Chen, A solvability theorem on a class of conditional input-output equation, Chinese Annals of Mathematics 25A(6) (2004), 791-798 (in Chinese). [6] Y. F. Liu and X. H. Chen, Some results on continuous type conditional input-output equation, Applied Mathematics and Mechanics (English edition) 25(3) (2004), 358-366. [7] R. Miller and P. Blair, Input-output Analysis: Foundations and Extension, Prentice-Hall, Englewood Cliffs, New Jersey, 1985. [8] I. W. Sandberg, A nonlinear input-output model of a multisectored economy, Econometrica 41 (1973), 1167-1182.

Keywords and phrases: input-output, matrix function, existence, approximation existence, nonlinear analysis.