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


MSC:

34G20 Nonlinear differential equations in abstract spaces
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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
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[4] J.Diestel, Geometry of Banach spaces – Selected topics. LNM485, Berlin-Heidelberg-New York 1975. · Zbl 0307.46009
[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.
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[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). · Zbl 0243.47033 · doi:10.1070/RM1972v027n01ABEH001364
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