Maps Which Are Continuously Differentiable in the Sense of Michal and Bastiani but not of Fre´chet
- Autores: Walther H.1
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Afiliações:
- Mathematisches Institut, Universita¨t Gießen
- Edição: Volume 63, Nº 4 (2017): Differential and Functional Differential Equations
- Páginas: 543-556
- Seção: New Results
- URL: https://journal-vniispk.ru/2413-3639/article/view/347266
- DOI: https://doi.org/10.22363/2413-3639-2017-63-4-543-556
- ID: 347266
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Texto integral
Resumo
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.
Sobre autores
Hans-Otto Walther
Mathematisches Institut, Universita¨t Gießen
Autor responsável pela correspondência
Email: Hans-Otto.Walther@math.uni-giessen.de
Arndtstr. 2, D 35392 Gießen, Germany
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