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Existence of invariant manifolds of systems with delay

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Literature cited

  1. N. N. Bogolyubov and Yu. A. Mitropol'skii, “The method of integral manifolds in nonlinear mechanics,” Proceedings of International Symposium on Nonlinear Oscillation [in Russian], Vol. 1, Izd-vo AN UkrSSR, Kiev (1963).

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  2. Yu. A. Mitropol'skii and O. B. Lykova, Integral Manifolds in Nonlinear Mechanics [in Russian], Nauka, Moscow (1973).

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  3. V. I. Fodchuk, “On integral manifolds for systems with delay,” Proceedings of the V International Conference on Nonlinear Osculations [in Russian], Vol. 1, Izd. Instituta Matematiki AN UkrSSR, Kiev (1970).

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  4. A. Khalanai, “Periodic invariant manifolds for certain classes of systems with delay” [in Russian], Rev. Roum. Math. Pures Appl.,10, No. 3 (1965).

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Authors and Affiliations

  1. Kiev State University, USSR

    D. I. Martynyuk & A. M. Samoilenko

  2. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, USSR

    D. I. Martynyuk & A. M. Samoilenko

Authors
  1. D. I. Martynyuk
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  2. A. M. Samoilenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 5, pp. 611–620, September–October, 1974.

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Martynyuk, D.I., Samoilenko, A.M. Existence of invariant manifolds of systems with delay. Ukr Math J 26, 500–507 (1974). https://doi.org/10.1007/BF01085276

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  • DOI: https://doi.org/10.1007/BF01085276

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