Skip to main content
SpringerLink
Log in

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

  • Published:
Ukrainian Mathematical Journal Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  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. 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.

  3. G. P. Pelyukh and A. N. Sharkovskii, Introduction to the Theory of Functional Equations [in Russian], Naukova Dumka, Kiev (1974).

    Google Scholar 

  4. M. Kuczma, Functional Equations in a Single Variable, PWN, Warszawa (1968).

    Google Scholar 

  5. G. B. Whitham, Linear and Nonliner Waves, Wiley, New York (1974).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics Institute, Academy of Sciences of the Ukrainian SSR, Kiev

    S. Ya. Aliev & Yu. L. Maistrenko

Authors
  1. S. Ya. Aliev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu. L. Maistrenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 4, pp. 411–416, July–August, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aliev, S.Y., Maistrenko, Y.L. Global smooth solvability of a nonlinear boundary-value problem for a quasilinear hyperbolic system. Ukr Math J 36, 329–334 (1984). https://doi.org/10.1007/BF01066548

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01066548

Keywords

Search

Navigation