Skip to main content
SpringerLink
Log in

Application of the riemann method to a factorized equation in an n-dimensional space

  • Published:
Russian Mathematics Aims and scope Submit manuscript

Abstract

We obtain sufficient conditions for the unique solvability of the characteristic boundary problem for one hyperbolic equation.

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. S. E. Elubaev, “A Boundary-Value Problem for a Hyperbolic Equation,” Sib. Matem. Zhurn. 2(4), 510–519 (1961).

    MathSciNet  MATH  Google Scholar 

  2. S. E. Elubaev, “A Boundary-Value Problem for a Hyperbolic Equation of the Third Order with Two Independent Variables,” Vestn. Akad. Nauk Kazakhsk. SSR, No. 6, 54–62 (1962).

  3. T. D. Dzhuraev, “On Equations of Mixed-Composite Type,” Izv. Akad. Nauk Uzb. SSR. Ser. Fiz.-Matem., No. 6, 3–14 (1961).

  4. T. D. Dzhuraev, “On Boundary-Value Problems for Equations of Mixed-Composite Type,” Sib. Matem. Zhurn., 4(4), 775–787 (1963).

    MATH  Google Scholar 

  5. Ni Xingtang, “Boundary-Value Problem with Three Characteristic Supports for Linear Totally Hyperbolic Equation of the Third Order,” Kexue Tongbao 25(5), 361–369 (1980).

    MathSciNet  MATH  Google Scholar 

  6. T. D. Dzhuraev and Ya. Popelek, “On the Canonical Forms of Third-Order Partial Differential Equations,” Usp. Mat. Nauk 44(4), 237–238 (1989).

    MathSciNet  Google Scholar 

  7. V. I. Zhegalov, “On One Boundary Problem for a Third Order Partial Differential Equation,” in Proc. of Intern. Sci. Conf. ’spectral Theory of Differential Operators and Related Problems’, Sterlitamak, June 24–26, 2003 (Gilem, Ufa, 2003), pp. 119–123.

  8. V. I. Zhegalov and A. N. Mironov, “A Remark on Spatial Boundary-Value Problems for Hyperbolic Equations,” Differents. Uravn. 46(3), 364–371 (2010).

    MathSciNet  Google Scholar 

  9. V. I. Zhegalov and A. N. Mironov, Differential Equations with Major Partial Derivatives (Kazansk. Matem. Ob-vo, Kazan, 2001) [in Russian].

    Google Scholar 

  10. A. N. Mironov, “On the Riemann Method for Solving One Mixed Problem,” Vestn. Samarsk. Tekhn. Univ. Ser. Fiz.-Matem. Nauk, No. 2, 27–32 (2007).

  11. A. N. Mironov, “The Riemann Method for Equations with Leading Partial Derivative in R n,” Sib. Matem. Zhurn. 47(30), 584–594 (2006).

    MathSciNet  MATH  Google Scholar 

  12. V. I. Zhegalov and A. N. Mironov, “Three-Dimensional Characteristic Problems with Normal Derivatives in Boundary Conditions,” Differents. Uravn. 36(6), 833–836 (2000).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Elabuga Branch of Kazan (Volga Region) Federal University, ul. Kazanskaya 89, Elabuga, 423600, Russia

    A. N. Mironov

Authors
  1. A. N. Mironov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. N. Mironov.

Additional information

Original Russian Text © A.N. Mironov, 2012, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, No. 1, pp. 54–60.

About this article

Cite this article

Mironov, A.N. Application of the riemann method to a factorized equation in an n-dimensional space. Russ Math. 56, 48–54 (2012). https://doi.org/10.3103/S1066369X12010070

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1066369X12010070

Keywords and phrases

Search

Navigation