Ukrainian Mathematical Journal

, Volume 30, Issue 5, pp 534–538 | Cite as

A method of averaging for hyperbolic integrodifferential systems with fast and slow variables

  • G. P. Khoma
  • E. A. Gaeva
Brief Communications


Slow Variable Integrodifferential System 
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Literature cited

  1. 1.
    Yu. A. Mitropol'skii, A Method of Averaging in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1971).Google Scholar
  2. 2.
    Yu. A. Mitropol'skii and B. I. Moseenkov, An Asymptotic Solution of Equations in Partial Derivatives [in Russian], Vishcha Shkola, Kiev (1976).Google Scholar
  3. 3.
    A. N. Filatov, Asymptotic Methods in the Theory of Differential and Integrodifferential Equations [in Russian], Fan, Tashkent (1974).Google Scholar
  4. 4.
    R. Courant, Equations with Partial Derivatives [Russian translation], Mir, Moscow (1964).Google Scholar
  5. 5.
    G. P. Khoma, “A method of averaging for hyperbolic systems of standard form,” in: Nonlinear Differential Equations in Applied Problems [in Russian], Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1977), pp. 194–207.Google Scholar
  6. 6.
    I. G. Petrovskii, Lectures in the Theory of Ordinary Differential Equations [in Russian], Nauka, Moscow (1964).Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • G. P. Khoma
    • 1
    • 2
  • E. A. Gaeva
    • 1
    • 2
  1. 1.Ternopol Pedagogic InstituteUSSR
  2. 2.Institute of MathematicsAcademy of Sciences of the Ukrainian SSRUKraine

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