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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

A universal functional equation

Author(s): Carsten Elsner
Journal: Proc. Amer. Math. Soc. 127 (1999), 139-143.
MSC (1991): Primary 34K05, 34A34
MathSciNet review: 1622809
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Abstract | References | Similar articles | Additional information

Abstract: It is shown that the S-chains solving Rubel's universal fourth-order differential equation also satisfy a third-order functional equation.


References:

1.
M. Boshernitzan, Universal formulae and universal differential equations, Annals of Mathematics 124 (1986), 273-291. MR 88a:12007

2.
C. Elsner, On the approximation of continuous functions by $C^\infty$-solutions of third-order algebraic differential equations, Math. Nachr. 157 (1992), 235-241. MR 94i:34032

3.
L. A. Rubel, A universal differential equation, Bulletin of the American Mathematical Society 4 no. 3 (1981), 345-349. MR 82e:34015


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Additional Information:

Carsten Elsner
Affiliation: Department of Mathematics, University of Hannover, Welfengarten 1, D-30167 Hannover, Germany
Email: elsner@math.uni-hannover.de

DOI: 10.1090/S0002-9939-99-05003-0
PII: S 0002-9939(99)05003-0
Keywords: Functional-differential equations, nonlinear ordinary differential equations
Received by editor(s): May 2, 1997
Communicated by: Hal L. Smith
Copyright of article: Copyright 1999, American Mathematical Society




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