This article is cited in 1 paper

Maps which are continuously differentiable in the sense of Michal and Bastiani but not of Fréchet

H.-O. Walther

Mathematisches Institut, Universität Gießen, Arndtstr. 2, D 35392 Gießen, Germany

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 Frćhet. The search for such examples is motivated by studies of delay differential equations with the delay variable and not necessarily bounded.

UDC: 517.929

DOI: 10.22363/2413-3639-2017-63-4-543-556