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Differentiability properties of functions that are -stable at a point

✍ Scribed by Dušan Bednařík; Karel Pastor


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
259 KB
Volume
69
Category
Article
ISSN
0362-546X

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In 1981, L. A. Rubel found an explicit algebraic differential equation (ADE) of order four such that every real continuous function on the real line can be uniformly approximated by the C ∞ -solutions of this ADE. It is shown that an ADE of order five exists, where the C ∞ -solutions additionally sa