Skip to main content
SpringerLink
Log in

Smooth solution of one boundary-value problem

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

Abstract

We study the boundary value problem for the quasilinear equation u u − uxx=F[u, ut], u(x, 0)= u(x, π)=0, u(x+w, t)=u(x, t), x ε ®, t ε [0, π], and establish conditions under which a theorem on the uniqueness of a smooth solution is true.

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

References

  1. Yu. A. Mitropol’skii and N. H. Khoma, “Periodic solutions of quasilinear hyperbolie equations of second order,” Ukr. Mat. Zh., 47, No. 10, 1370–1375 (1995).

    MathSciNet  Google Scholar 

  2. N. H. Khoma, “The existence of a smooth solution of a boundary-value problem,” Ukr. Mat. Zh., 47, No. 12, 1717–1719 (1995).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ternopol Academy of National Economy, Ternopol

    N. H. Khoma

  2. Ternopol Pedagogic Institute, Ternopol

    P. V. Tsynalko

Authors
  1. N. H. Khoma
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. V. Tsynalko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 12, pp. 1712–1716, December, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khoma, N.H., Tsynalko, P.V. Smooth solution of one boundary-value problem. Ukr Math J 49, 1932–1937 (1997). https://doi.org/10.1007/BF02513073

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02513073

Keywords

Search

Navigation