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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).

MSC:

34G99 Differential equations in abstract spaces
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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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).
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