Maps Which Are Continuously Differentiable in the Sense of Michal and Bastiani but not of Fre´chet

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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

References

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