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On averaging in certain systems of integrodifferential equations

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Literature cited

  1. 1.

    A. A. Il'yushin and B. E. Pobedrya, Basic Mathematical Theory of Thermo-Viscoelasticity [in Russian], Nauka, Moscow (1970).

  2. 2.

    D. L. Bykov, A. A. Il'yushin, P. M. Ogibalov, and B. E. Pobedrya, “Some basic problems in the theory of thermo-viscoelasticity,” Mekhan. Polim., No. 1 (1971).

  3. 3.

    A. N. Filatov, “Averaging in systems of integral and integrodifferential equations,” in: Studies in Analytical Mechanics [in Russian], Fan, Tashkent (1965).

  4. 4.

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

  5. 5.

    A. N. Filatov and L. I. Talipova, “On a variant of averaging in systems of integrodifferential equations,” Differents. Uravnen.,5, No. 5 (1969).

  6. 6.

    A. N. Filatov and L. I. Talipova, “Averaging in a system of integrodifferential equations which are not solvable with respect to the derivative,” Izv. Akad. Nauk UzSSR, Ser. Tekh. Nauk, No. 2 (1969).

  7. 7.

    A. N. Filatov and L. I. Talipova, “On a variant of averaging in integrodifferential equations,” Dokl. Akad. Nauk SSSR,192, No. 4 (1970).

  8. 8.

    A. N. Filatov, Methods of Averaging in Differential and in Integrodifferential Equations [in Russian], Fan, Tashkent (1971).

  9. 9.

    Yu. A. Mitropol'skii, The Method of Averaging in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1971).

  10. 10.

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

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27, No. 3, pp. 421–427, May–June, 1975.

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Éshmatov, K. On averaging in certain systems of integrodifferential equations. Ukr Math J 27, 343–348 (1975).

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  • Integrodifferential Equation