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Weak solvability of systems of nonlinear differential equations in banach spaces

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Literature cited

  1. 1.

    S. G. Krein and A. M. Shikhvatov, “Linear differential equations on a Lie group,” Funkts. Anal. Prilozhen.,4, No. 1, 52–61 (1970).

  2. 2.

    Yu. S. Sysoev, “A linear inhomogeneous equation on a Lie group,” Differents. Uravn.,10, No. 2, 364–366 (1974).

  3. 3.

    T. Kato, “Nonlinear equations of evolution,” J. Math. Soc. Jpn.,19, No. 4, 508–520 (1967).

  4. 4.

    M. I. Khazan, “Nonlinear evolution equations in locally convex spaces,” Dokl. Akad. Nauk SSSR,212, No. 6, 1309–1312 (1973).

  5. 5.

    S. G. Krein, Linear Differential Equations in Banach Space, Amer. Math. Soc., Providence, Rhode Island (1972).

  6. 6.

    E. T. Poulsen, “Evolutionsgleichungen in Banach-Raumen,” Math. Zeitschr.,90, 286–309 (1965).

  7. 7.

    J. Dieudonné, Foundations of Modern Analysis [Russian translation], Mir, Moscow (1967).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 29, No. 5, pp. 685–689, September–October, 1977.

The author thanks Yu. L. Daletskii for suggesting the problem and for his guidance of this work.

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Samborskii, S.N. Weak solvability of systems of nonlinear differential equations in banach spaces. Ukr Math J 29, 525–528 (1977). https://doi.org/10.1007/BF01089910

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  • Differential Equation
  • Banach Space
  • Nonlinear Differential Equation
  • Weak Solvability