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Ukrainian Mathematical Journal

, Volume 38, Issue 5, pp 490–495 | Cite as

Justification of an averaging scheme for hyperbolic systems with fast and slow variables. The mixed problem

  • M. I. Gromyak
Article
  • 18 Downloads

Keywords

Hyperbolic System Slow Variable Mixed Problem Average Scheme 
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Literature cited

  1. 1.
    Yu. A. Mitropol'skii and G. P. Khoma, “On the methods of averaging of hyperbolic systems with fast and slow variables. The mixed problem,” Ukr. Mat. Zh.,31, No. 4, 398–406 (1979).Google Scholar
  2. 2.
    V. A. Plotnikov and A. T. Yarovoi, “Justification of an averaging scheme for systems of standard form on a finite interval,” Ukr. Mat. Zh.,31, No. 2, 166–170 (1979).Google Scholar
  3. 3.
    M. I. Grom'yak, “Justification of an averaging scheme for hyperbolic systems of first order,” Dopov. Akad. Nauk Ukr. SSR, Ser. A, No. 6, 5–7 (1984).Google Scholar
  4. 4.
    V. É. Abolinya and A. D. Myshkis, “A mixed problem for an almost linear hyperbolic system on the plane,” Mat. Sb.,50, No. 4, 423–442 (1960).Google Scholar
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    I. G. Petrovskii, Lectures on the Theory of Ordinary Differential Equations [in Russian] Nauka, Moscow (1964).Google Scholar
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    R. Bellman, Stability Theory of Differential Equations, McGraw-Hill, New York (1953).Google Scholar

Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • M. I. Gromyak
    • 1
  1. 1.Mathematics InstituteAcademy of Sciences of the Ukrainian SSRKiev

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