A simple proof of the Rademacher theorem
Aleš Nekvinda, Luděk Zajíček (1988)
Časopis pro pěstování matematiky
Similarity:
Displaying similar documents to “Functions satisfying an integral Lipschitz condition”
A simple proof of the Rademacher theorem
An elementary proof of the one-dimensional Rademacher theorem
Luděk Zajíček (1992)
Mathematica Bohemica
Similarity:
An elementary short proof of the one-dimensional Rademacher theorem on differentiability of Lipschitz functions is given.
Bi-Lipschitz trivialization of the distance function to a stratum of a stratification
Adam Parusiński (2005)
Annales Polonici Mathematici
Similarity:
Given a Lipschitz stratification 𝒳 that additionally satisfies condition (δ) of Bekka-Trotman (for instance any Lipschitz stratification of a subanalytic set), we show that for every stratum N of 𝒳 the distance function to N is locally bi-Lipschitz trivial along N. The trivialization is obtained by integration of a Lipschitz vector field.
Averaging for ordinary differential equations perturbed by a small parameter
Mustapha Lakrib, Tahar Kherraz, Amel Bourada (2016)
Mathematica Bohemica
Similarity:
In this paper, we prove and discuss averaging results for ordinary differential equations perturbed by a small parameter. The conditions we assume on the right-hand sides of the equations under which our averaging results are stated are more general than those considered in the literature. Indeed, often it is assumed that the right-hand sides of the equations are uniformly bounded and a Lipschitz condition is imposed on them. Sometimes this last condition is relaxed to the uniform continuity...