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Differential Equations

, Volume 51, Issue 5, pp 652–660 | Cite as

Periodic Riemann problem and discrete convolution equations

  • A. V. Vasil’ev
  • V. B. Vasil’ev
Integral Equations

Abstract

We study a periodic Riemann problem of finding a pair of analytic functions in the upper and lower half-strips and describe its solvability conditions depending on the index of the problem. We show that this problem can be used to study the solvability of discrete convolution equations.

Keywords

Singular Integral Equation Riemann Problem Solvability Condition Cauchy Type Inhomogeneous Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Gakhov, F.D., Kraevye zadachi (Boundary Value Problems), Moscow: Nauka, 1977.zbMATHGoogle Scholar
  2. 2.
    Muskhelishvili, N.I., Singulyarnye integral’nye uravneniya (Singular Integral Equations), Moscow: Nauka, 1968.Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  1. 1.Belgorod State UniversityBelgorodRussia
  2. 2.Lipetsk State Technical UniversityLipetskRussia

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