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Ukrainian Mathematical Journal

, Volume 36, Issue 4, pp 329–334 | Cite as

Global smooth solvability of a nonlinear boundary-value problem for a quasilinear hyperbolic system

  • S. Ya. Aliev
  • Yu. L. Maistrenko
Article

Keywords

Hyperbolic System Quasilinear Hyperbolic System Smooth Solvability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

  1. 1.
    A. D. Myshkis and A. M. Filimonov, “Continuous solutions of quasilinear hyperbolic systems with two independent variables,” Differents. Uravn.,17, No. 3, 488–500 (1981).Google Scholar
  2. 2.
    A. M. Filimonov, Sufficient Conditions for Global Solvability of a Mixed Problem for Quasilinear Hyperbolic Systems with Two Independent Variables [in Russian], Moscow (1980), Manuscript Deposited at the All-Union Institute for Scientific and Technical Information at No. 6-81 Dep. on Jan. 4, 1981.Google Scholar
  3. 3.
    G. P. Pelyukh and A. N. Sharkovskii, Introduction to the Theory of Functional Equations [in Russian], Naukova Dumka, Kiev (1974).Google Scholar
  4. 4.
    M. Kuczma, Functional Equations in a Single Variable, PWN, Warszawa (1968).Google Scholar
  5. 5.
    G. B. Whitham, Linear and Nonliner Waves, Wiley, New York (1974).Google Scholar

Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • S. Ya. Aliev
    • 1
  • Yu. L. Maistrenko
    • 1
  1. 1.Mathematics InstituteAcademy of Sciences of the Ukrainian SSRKiev

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