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Uniform continuity and the continuity of composition

1984
It is proved that the composition \((g,f)\to g\circ f,\) considered as map \(D^ p\times D^ p\to D^{p-1}\) is (differentiable) at (g,f) if g has a uniformly continuous p-th derivative. Here \(D^ p\) stands for a Banach space of \(C^ p\) maps. The importance of uniformity is illustrated by an example and by historical remarks.
openaire   +2 more sources

Uniform Continuity

2017
Titu Andreescu   +2 more
openaire   +1 more source

Uniform attractors and their continuity for the non-autonomous Kirchhoff wave models

Discrete and Continuous Dynamical Systems - Series B, 2021
Zhijian Yang
exaly  

Uniform Continuity of the Value of Zero-Sum Games with Differential Information

Mathematics of Operations Research, 2008
Diego Moreno   +2 more
exaly  

On the Cauchy problem for the periodic b-family of equations and of the non-uniform continuity of Degasperis–Procesi equation

Journal of Mathematical Analysis and Applications, 2009
Ognyan Christov, Sevdzhan Hakkaev
exaly  

Uniform continuity on unbounded intervals

International Journal of Mathematical Education in Science and Technology, 2008
Rodrigo López-Pouso
exaly  

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