Ukrainian Mathematical Journal

, Volume 49, Issue 5, pp 735–746 | Cite as

Carleman problem for two pairs of functions in a ring

  • P. V. Kerekesha
  • S. Yu. Khachaturov
Article
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Abstract

We consider a particular case of the matrix Carleman problem for two pairs of functions in a ring and find a constructive solution of this problem. In addition, we propose an algorithm for the construction of solutions for two infinite systems of smooth transition and for a system of two singular equations of special type.

Keywords

Smooth Transition Laurent Series Infinite System Power Coefficient Index Zero 

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References

  1. 1.
    F. D. Gakhov and Yu. I. Cherskii, Equations of Convolution Type [in Russian], Nauka, Moscow (1978).Google Scholar
  2. 2.
    P. V. Kerekesha, “Integral representation of a periodic function in a strip,” in: Republican Scientific-Methodical Conference Dedicated to the 200th Birthday of N. I. Lobachevskii [in Russian], Odessa (1992), pp. 38–39.Google Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • P. V. Kerekesha
  • S. Yu. Khachaturov

There are no affiliations available

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