Ukrainian Mathematical Journal

, Volume 20, Issue 3, pp 327–331 | Cite as

Stable integral manifolds of a nonlinear differential equation in banach space

  • Yu. L. Daletskii
Brief Communications


Differential Equation Banach Space Nonlinear Differential Equation Integral Manifold Stable Integral Manifold 
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Literature cited

  1. 1.
    N. N. Bogolyubov, Some Statistical Methods in Mathematical Physics [in Russian], Izd. Akad. Nauk UkrSSR, Kiev (1945).Google Scholar
  2. 2.
    N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Fizmatgiz, Moscow (1963).Google Scholar
  3. 3.
    Yu. A. Mitropol'skii, Questions in the Asymptotic Theory of Nonstationary Oscillations [in Russian], Nauka, Moscow (1964).Google Scholar
  4. 4.
    Yu. A. Mitropol'skii, “The investigation of an integral manifold for a system of nonlinear equations which is similar to equations with variable coefficients in a Hilbert space,” UMZh,16, No. 3 (1964).Google Scholar
  5. 5.
    Yu. A. Mitropol'skii and O.B. Lykova, “An integral manifold of a nonlinear system in a Hilbert space,” UMZh,17, No. 5 (1965).Google Scholar
  6. 6.
    M. G. Krein, Lectures on Stability Theory of Solutions of Differential Equations in a Banach Space [in Russian], Inst. Matem. Akad. Nauk UkrSSR, Kiev (1964).Google Scholar

Copyright information

© Consultants Bureau 1969

Authors and Affiliations

  • Yu. L. Daletskii
    • 1
  1. 1.Kiev Polytechnical InstituteUSSR

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