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Poincaré’s early use of Analysis situs in nonlinear differential equation : variations around the theme of Kronecker’s integral

Jean Mawhin — 2000

Philosophia Scientiae

We analyze the chronological and conceptual evolution of the early use by Poincaré of tools, and in particular of in his qualitative theory of nonlinear differential equations. We show in this way that prior to his famous series of subsequent papers on Poincaré had already obtained or anticipated many important topological results.

A tribute to Juliusz Schauder

Jean Mawhin — 2018

Antiquitates Mathematicae

An analysis of the mathematical contributions of Juliusz Schauder through the writings of contemporary mathematicians, and in particular Leray, Hadamard, Banach, Randolph, Federer, Lorentz, Ladyzhenskaya, Ural’tseva, Orlicz, Gårding and Pietsch.

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