Ukrainian Mathematical Journal

, Volume 31, Issue 5, pp 454–457 | Cite as

Averaging of differential inclusions

  • V. A. Plotnikov
Brief Communications


Differential Inclusion 
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Literature cited

  1. 1.
    N. N. Bogolyubov, Certain Statistical Methods in Mathematical Physics [in Russian], Izd. Akad. Nauk Ukr. SSR, Kiev (1945).Google Scholar
  2. 2.
    Yu. A. Mitropol'skii, The Averaging Method in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1971).Google Scholar
  3. 3.
    K. Kuratowski, Topology, Academic Press (1966).Google Scholar
  4. 4.
    J. Warga, Optimal Control of Differential and Functional Equations, Academic Press, London-New York (1972).Google Scholar
  5. 5.
    A. A. Lyapunov, “On completely additive vector-functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,4, No. 6, 465–478 (1940).Google Scholar
  6. 6.
    A. B. Kurzhanskii, Control and Observation under Conditions of Indeterminacy [in Russian], Nauka, Moscow (1977).Google Scholar
  7. 7.
    E. B. Lee and S. Marcus, Foundations of Optimal Control Theory, Wiley, New York (1967).Google Scholar
  8. 8.
    A. F. Filippov, “Classical solutions of differential equations with multivalued right-hand side,” Vestn. Mosk. Univ., Ser. Mat. Mekh., No. 3, 16–26 (1967).Google Scholar
  9. 9.
    V. I. Blagodatskikh, “Certain results in the theory of differential inclusions,” in: Summer School on Ordinary Differential Equations, Brno, Part II (1975), pp. 35–62.Google Scholar
  10. 10.
    V. A. Plotnikov, Asymptotic Methods in Problems of Optimal Control [in Russian], Izd, Odessk. Univ., Odessa (1976).Google Scholar
  11. 11.
    V. I. Nebesnov and V. A. Plotnikov, Mathematical Methods of Investigation of Regimes of Work of a Ship Complex [in Russian], Reklaminformbyuro MMF, Moscow (1977).Google Scholar
  12. 12.
    V. I. Nebesnov, V. A. Plotnikov, and A. Ya. Kuzyushin, Optimal Control of Screw Controllable Propeller in a Rough Sea [in Russian], Pishchevaya Promyshlennost', Moscow (1974).Google Scholar
  13. 13.
    A. I. Panasyuk and V. I. Panasyuk, Asymptotic Optimization of Nonlinear Control Systems [in Russian], Izd. BSSR, Minsk (1977).Google Scholar
  14. 14.
    A. I. Filatov, Averaging Methods in Differential and Integrodifferential Equations [in Russian], Fan, Tashkent (1971).Google Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • V. A. Plotnikov
    • 1
  1. 1.Odessa State UniversityUSSR

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