Godunov, A. N. Peano’s theorem in Banach spaces. (English. Russian original) Zbl 0314.34059 Funct. Anal. Appl. 9, 53-55 (1975); translation from Funkts. Anal. Prilozh. 9, No. 1, 59-60 (1975). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 37 Documents MathOverflow Questions: Does Peano’s theorem apply to spaces with infinite dimension? MSC: 34G99 Differential equations in abstract spaces 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations PDFBibTeX XMLCite \textit{A. N. Godunov}, Funct. Anal. Appl. 9, 53--55 (1975; Zbl 0314.34059); translation from Funkts. Anal. Prilozh. 9, No. 1, 59--60 (1975) Full Text: DOI References: [1] J. Dieudonné, Acta. Sci. Math. Szeged,12, Pars B, 38-40 (1950). [2] J. A. Yorke, Funkcialaj Ekvacioj,13, 19-21 (1970). [3] A. N. Godunov, ”Counterexample of Peano’s theorem in an infinite-dimensional Hilbert space,” Vestnik MGU, Seriya Matem. i Mekhan., No. 5, 31-34 (1972). [4] A. Cellina, Bull. Amer. Math. Soc.,78, No. 6, 1069-1072 (1972). · Zbl 0277.34066 [5] M. M. Day, Proc. Am. Math. Soc.,13, 655-658 (1962). [6] J. Dugunji, Pacific J. Math.,1, 353-367 (1951). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.