Skip to main content
SpringerLink
Log in

To problems with continual derivative in boundary conditions for a parabolic equation

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We reduce problems with continual derivatives in boundary conditions for a parabolic equation to a system of two singular integral Volterra equations of the second order.

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

Similar content being viewed by others

References

  1. A. M. Nakhushev,On Equations of State of One-Dimensional Systems and Their Applications [in Russian], Nalchik (1995).

  2. M. Kh. Shkhanukov, A. A. Kerefov, and A. A. Berezovskii, “Boundary-value problems for the heat conduction equation with a fractional derivative in the boundary conditions. Difference methods for numerical realization of these problems,”Ukr. Mat. Zh.,45, No. 9, 1289–1298 (1993).

    Article  MATH  MathSciNet  Google Scholar 

  3. S. G. Samko, A. A. Kilbas, and O. I. Marichev,Integrals and Derivatives of Fractional Order and Some Applications [in Russian], Nauka i Tekhnika, Minsk (1987).

    MATH  Google Scholar 

  4. W. Rudin,Principles of Mathematical Analysis, McGraw-Hill, New York (1964).

    MATH  Google Scholar 

  5. L. D. Kudryavtsev,A Short Course of Mathematical Analysis [in Russian], Nauka, Moscow (1989).

    MATH  Google Scholar 

  6. A. N. Tikhonov and A. A. Samarskii,Equations of Mathematical Physics [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  7. É. Goursat,A Course of Mathematical Analysis. Vol. 3. Part 1 [Russian translation], Gostekhizdat, Moscow (1933).

    Google Scholar 

  8. A. M. Nakhushev,Equations of Mathematical Biology [in Russian], Vysshaya Shkola, Moscow (1995).

    MATH  Google Scholar 

Download references

Authors
  1. A. A. Kerefov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Kabardino-Balkar University, Russia. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 3, pp. 305–313, March, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kerefov, A.A. To problems with continual derivative in boundary conditions for a parabolic equation. Ukr Math J 51, 343–352 (1999). https://doi.org/10.1007/BF02592472

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02592472

Keywords

Search

Navigation