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On the Cauchy problem for ordinary differential equations in Banach spaces. (English) Zbl 0496.34033

MSC:
34G20Nonlinear ODE in abstract spaces
References:
[1]D. Amir andJ. Lindenstrauss, The structure of weakly compact sets in Banach spaces. Ann. Math. (2)88, 35–46 (1968). · Zbl 0164.14903 · doi:10.2307/1970554
[2]K.Deimling, Ordinary differential equations in Banach spaces. LNM596, Berlin-Heidelberg-New York 1977.
[3]K.Deimling, On some open problems for ordinary differential equations. Equa-Diff78, Firenze 1978.
[4]J.Diestel, Geometry of Banach spaces – Selected topics. LNM485, Berlin-Heidelberg-New York 1975.
[5]L. S.Goldenshtein and A. S.Markus, On the measure of noncompactness of bounded sets and linear operators, Issled. po algebre i matem. analizu, Kishinev, 45–54 (1965).
[6]K.Kuratowski, Topology Vol. II. New York 1966.
[7]G. Ladas andV. Lakshmikantham, Global existence and asymptotic equilibrium in Banach spaces. J. Indian Math. Soc.36, 33–40 (1972).
[8]T.-Y. Li, Existence of solutions for ordinary differential equations in Banach spaces. J. Differential Equations18, 29–40 (1975). · Zbl 0325.34069 · doi:10.1016/0022-0396(75)90079-0
[9]B. N. Sadovskii, Limit-compact and condensing operators. Russian Math. Surveys27, 85–155 (1972). · doi:10.1070/RM1972v027n01ABEH001364