Maps Which Are Continuously Differentiable in the Sense of Michal and Bastiani but not of Fre´chet
- Authors: Walther H.1
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Affiliations:
- Mathematisches Institut, Universita¨t Gießen
- Issue: Vol 63, No 4 (2017): Differential and Functional Differential Equations
- Pages: 543-556
- Section: New Results
- URL: https://journals.rudn.ru/CMFD/article/view/22399
- DOI: https://doi.org/10.22363/2413-3639-2017-63-4-543-556
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Abstract
We construct examples of nonlinear maps on function spaces which are continuously differentiable in the sense of Michal and Bastiani but not in the sense of Fre´chet. The search for such examples is motivated by studies of delay differential equations with the delay variable and not necessarily bounded.
About the authors
Hans-Otto Walther
Mathematisches Institut, Universita¨t Gießen
Author for correspondence.
Email: Hans-Otto.Walther@math.uni-giessen.de
Arndtstr. 2, D 35392 Gießen, Germany
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