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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:
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
-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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