Lobachevskii Journal of Mathematics

, Volume 39, Issue 2, pp 263–265 | Cite as

Twice Periodic Solutions of a Nonlinear Elliptic Second-Order Systems

  • D. S. Safarov
  • M. S. Shodiev


The problem of the existence of twice periodic solutions of a nonlinear elliptic system of second-order equations on a plane whose main periods are given is studied. Conditions for the existence of solutions with prescribed poles, as well as with prescribed zeros and poles, are obtained.

Keywords and phrases

Nonlinear system elliptic functions solution with poles 


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    N. I. Akhiezer, Elements of the Theory of Elliptic Functions (Nauka, Moscow, 1970) [in Russian].Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Kurgan-Tube State UniversityKurgan-TubeTajikistan

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