Astala, Kari On Peano’s theorem in locally convex spaces. (English) Zbl 0507.34047 Stud. Math. 73, 213-223 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 Documents MathOverflow Questions: I would like to have a counter example that Peano’s theorem does not apply to spaces with infinite dimension MSC: 34G20 Nonlinear differential equations in abstract spaces 34A34 Nonlinear ordinary differential equations and systems 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations Keywords:Peano’s property; Banach reflexive spaces; locally convex spaces PDFBibTeX XMLCite \textit{K. Astala}, Stud. Math. 73, 213--223 (1982; Zbl 0507.34047) Full Text: DOI EuDML