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The construction of asymptotic solutions for quasi-linear partial differential equations with retarded time argument

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Literature cited

  1. N. N. Bogolyubov and N. M. Krylov, Introduction to Non-linear Mechanics [in Russian], Izd-vo AN SSSR, Kiev (1937).

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  2. Yu. A. Mitropol'skii and N. N. Bogolyubov, Asymptotic Methods in the Theory of Non-linear Oscillations [in Russian], Fizmatgiz, Moscow (1963).

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  3. Yu. A. Mitropol'skii, Problems in the Asymptotic Theory of Non-stationary Oscillations, Izd-vo, Nauka, Moscow (1964).

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  4. Yu. A. Mitropol'skii, B. I. Moseenkov, Investigating Oscillations in Systems with Distributed Parameters (Asymptotic Method) [in Ukrainian], Kiev (1961).

  5. B. I. Moseenkov, “The construction of approximate asymptotic solutions of the one-dimensional boundary value problem in the study of non-stationary oscillations” in; Physical Mathematics [in Russian], Izd-vo, Naukova Dumka, Kiev (1966).

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  6. Yu. A. Mitropol'skii and V. I. Fodchuk, “Asymptotic methods in non-linear mechanics applied to non-linear differential equations with retarded argument,” Ukrainsk. Matem. Zh.,18, No. 3 (1966).

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the UkrSSR, Moscow

    S. A. Vasilishin & V. I. Fodchuk

Authors
  1. S. A. Vasilishin
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  2. V. I. Fodchuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.21, No.4, pp. 108–113, July–August, 1968.

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Vasilishin, S.A., Fodchuk, V.I. The construction of asymptotic solutions for quasi-linear partial differential equations with retarded time argument. Ukr Math J 19, 473–477 (1967). https://doi.org/10.1007/BF01090407

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  • DOI: https://doi.org/10.1007/BF01090407

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