2·î24Æü(²Ð) 15:30 -- 17:00 Vilmos Komornik (Universite Louis Pasteur, France) ````Blow-up'' of bounded solutions of differential equations'' ¡ã¸¦µæȯɽÍ׻ݡä 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