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Existence of solutions of linear differential equations in Banach spaces and fiber bundles

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Literature cited

  1. J. Dieudonne, Foundations of Modern Analysis, Academic Press, New York (1960).

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  2. S. Lang, Introduction to Differentiate Manifolds, Interscience, New York (1962).

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  3. S. G. Krein, Linear Differential Equations in Banach Space [in Russian], Nauka, Moscow (1967).

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  4. S. G. Krein and A. M. Shikhvatov, “Linear differential equations on Lie groups,” Funktsional Analiz i Ego Prilozhen.,4, No. 1 (1970).

  5. D. Spencer, “Overdetermined systems,” Matematika,11, No. 2 (1970).

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Authors and Affiliations

  1. Kiev Polytechnic Institute, USSR

    S. N. Samborskii

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  1. S. N. Samborskii
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 6, pp. 827–831, November–December, 1974.

The author thanks Yu. L. Daletskii for the formulation of the problem and for guidance with this paper.

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Samborskii, S.N. Existence of solutions of linear differential equations in Banach spaces and fiber bundles. Ukr Math J 26, 682–685 (1974). https://doi.org/10.1007/BF01085266

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  • DOI: https://doi.org/10.1007/BF01085266

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