Open AccessMaps Which Are Continuously Differentiable in the Sense of Michal and Bastiani but not of Fre´chet
Author(s) -
HansOtto Walther
Publication year - 2017
Publication title -
sovremennaâ matematika. fundamentalʹnye napravleniâ
Language(s) - English
Resource type - Journals
eISSN - 2949-0618
pISSN - 2413-3639
DOI - 10.22363/2413-3639-2017-63-4-543-556
Subject(s) - sense (electronics) , construct (python library) , bounded function , nonlinear system , mathematics , variable (mathematics) , function (biology) , computer science , mathematical analysis , physics , biology , engineering , quantum mechanics , evolutionary biology , electrical engineering , programming language
We construct examples of nonlinear maps on function spaces which are continuously dierentiable 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 dierential equations with the delay variable and not necessarily bounded.