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Asymptotic determination of single-frequency vibrations in a quasi-linear autonomous system with time-lag

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in Nonlinear-Vibration Theory [in Russian], Fizmatgiz, Moscow (1963).

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  2. V. P. Rubanik, “The application of the asymptotic method of N. M. Krylov and N. N. Bogolyubov to quasilinear differential-difference equations,” Ukrainsk. Matem. Zh.,11, No. 3 (1959).

  3. N. N. Krasovskii, Some Problems in Motion-Stability Theory [in Russian], Fizmatgiz, Moscow (1959).

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  4. S. N. Shimanov, “The critical case of a pair of purely imaginary roots for systems with aftereffect,” Sibirsk. Matem. Zh.,2, No. 3 (1961).

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Authors and Affiliations

  1. V. A. Steklov Institute of Mathematics, Sverdlovsk Branch, USSR

    S. N. Shimanov

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  1. S. N. Shimanov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 20, No. 6, pp. 814–825, November–December, 1968.

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Shimanov, S.N. Asymptotic determination of single-frequency vibrations in a quasi-linear autonomous system with time-lag. Ukr Math J 20, 703–712 (1968). https://doi.org/10.1007/BF01085239

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  • DOI: https://doi.org/10.1007/BF01085239

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