Skip to main content
Log in

Nonuniqueness of the solution of the gellerstedt space problem for one class of many-dimensional hyperbolic-elliptic equations

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

It is shown that the solution of the Gellerstedt space problem is not unique for one class of multidimensional hyperbolic-elliptic equations.

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

Access this article

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. V. Bitsadze, Equations of the Mixed Type [in Russian], Akad. Nauk SSSR, Moscow (1959).

    Google Scholar 

  2. A. M. Nakhushev, Problems with Shift for Partial Differential Equations [in Russian], Nauka, Moscow (2006).

    Google Scholar 

  3. S. A. Aldashev, Boundary-Value Problems for Many-Dimensional Hyperbolic and Mixed Equations [in Russian], Gylym, Almaty (1994).

    Google Scholar 

  4. S. G. Mikhlin, Many-Dimensional Singular Integrals and Integral Equations [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  5. S. A. Aldashev, “On the Darboux problems for one class of many-dimensional hyperbolic equations,” Differents. Uravn., 34, No. 1, 64–68 (1998).

    MathSciNet  Google Scholar 

  6. E. Kamke, Differentialgleichungen Lösungsmethoden und Lösungen, Akademische Verlagsgesellschaft Geest, Leipzig (1959).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 2, pp. 265–269, February, 2010.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aldashev, S.A. Nonuniqueness of the solution of the gellerstedt space problem for one class of many-dimensional hyperbolic-elliptic equations. Ukr Math J 62, 302–307 (2010). https://doi.org/10.1007/s11253-010-0352-4

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-010-0352-4

Keywords

Navigation