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On averaging in integrodifferential equations with a lag depending on the solution

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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 the Theory of Nonlinear Oscillations [inRussian], Nauka, Moscow (1963).

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  2. Yu. A. Mitropol'skii, Lectures on the Averaging Method in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1966).

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  3. A. N. Filatov, Averaging in Differential and Integrodifferential Equations [in Russian], Fan, Tashkent, (1967).

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  4. M. M. Khapaev, “On the averaging method and on certain problems connected with averaging,” Differents. Uravneniya,2, No. 5 (1966).

  5. G. Sansone, Equazioni Differenziali nel Campo Reale, Vol.2, 2nd Edition, Zanichelli (1948/1949).

  6. Yu. A. Mitropol'skii and A. N. Filatov, “Averaging of integrodifferential and integral equations,” Ukr. Matem. Zh.,24, No. 1 (1972).

  7. L. G. Fedorenko, “Existence theorems for the solutions of integrodifferential equations with a deviating argument depending on the solution,” Ukr. Matem. Zh.,22, No.2 (1970).

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Authors and Affiliations

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

    L. G. Fedorenko

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  1. L. G. Fedorenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.25, No. 5, pp. 696–701, Sept ember–October, 1973.

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Fedorenko, L.G. On averaging in integrodifferential equations with a lag depending on the solution. Ukr Math J 25, 580–584 (1973). https://doi.org/10.1007/BF01091957

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  • DOI: https://doi.org/10.1007/BF01091957

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