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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

On a system of nonlinear partial differential equations arising in mathematical economics

Author(s): Melvyn S. Berger; Norman G. Meyers
Journal: Bull. Amer. Math. Soc. 72 (1966), 954-958.
MathSciNet review: 0203231
Retrieve article in: PDF

References | Additional information

References:

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C. Goffman, Non parametric surfaces given by linearly continuous functions, Acta Math. 103 (1960), 271-291. MR 116090
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P. Hartman, Ordinary differential equations, Wiley, New York, 1964. MR 171038
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I. Herstein and J. Milnor, An axiomatic approach to measurable utility, Econometrica 17, (1953), 291-296. MR 61356
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L. Hurwicz and H. Uzawa, The integrability conditions for demand functions, (to appear).
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W. Nikliborc, Sur les équations aux differentiables totales, Studia Math. 1 (1929), 41-49.
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P. Samuelson, The problem of integrability in utility theory, Economica 17 (1950), 355-385. MR 43436
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J. Serrin, Theory of differentiation, (Mimeographed Lecture Notes), University of Minnesota, Minneapolis, Minn.
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T. Y. Thomas, Systems of total differential equations defined over simply connected domains, Ann. of Math. 35 (1934) 730-734. MR 1503190
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M. Tsuji, On a system of total differential equations, Japan. J. Math., 19 (1948), 383-393. MR 32889
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J. von Neumann and O. Morgenstern, Theory of games and economic behavior, Princeton Univ. Press, Princeton, N. J., 1944. MR 11937


Additional Information:

DOI: 10.1090/S0002-9904-1966-11600-2
PII: S 0002-9904(1966)11600-2




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