2·î24Æü(²Ð) 15:30 -- 17:00 Vilmos Komornik
(Universite Louis Pasteur, France)
````Blow-up'' of bounded solutions of differential equations''
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It is well-known that the bounded maximal solutions of ordinary differential
equations $x'=f(x)$, where $f$ is a locally Lipschitz continuous function in
a finite-dimensional Banach space, are defined on the whole real line.
Improving earlier results of Dieudonn\'e and Deimling we construct a
counterexample to this property in every infinite-dimensional Banach space.
This is a joint work with P. Martinez, M. Pierre and J. Vancostenoble