On Peano's theorem in Banach spaces

0352146 - MÚ 2011 RIV US eng J - Journal Article
Hájek, Petr Pavel - Johanis, M.
On Peano's theorem in Banach spaces.
Journal of Differential Equations. Roč. 249, č. 12 (2010), s. 3342-3351. ISSN 0022-0396. E-ISSN 1090-2732
R&D Projects: GA AV ČR IAA100190801
Institutional research plan: CEZ:AV0Z10190503
Keywords : diferential equations
Subject RIV: BA - General Mathematics
Impact factor: 1.261, year: 2010
http://www.sciencedirect.com/science/article/pii/S0022039610003505

We show that if X is an infinite-dimensional separable Banach space (or more generally a Banach space with an infinite-dimensional separable quotient) then there is a continuous mapping f : X -> X such that the autonomous differential equation x' = f(x) has no solution at any point.
Permanent Link: http://hdl.handle.net/11104/0191726