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On solvability of a periodic problem for a nonlinear telegraph equation

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Abstract

The time-periodic problem is studied for a nonlinear telegraph equation with the Dirichlet–Poincaré boundary conditions. The questions are considered of existence and smoothness of solutions to this problem.

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Authors and Affiliations

  1. Georgian Technical University, Tbilisi, Georgia

    S. S. Kharibegashvili

  2. Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia

    O. M. Dzhokhadze

Authors
  1. S. S. Kharibegashvili
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  2. O. M. Dzhokhadze
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Corresponding author

Correspondence to S. S. Kharibegashvili.

Additional information

Original Russian Text Copyright © 2016 Kharibegashvili S.S. and Dzhokhadze O.M.

Tbilisi. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 57, No. 4, pp. 940–950, July–August, 2016; DOI: 10.17377/smzh.2016.57.415. Original article submitted March 23, 2015. Revision submitted March 21, 2016.

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Kharibegashvili, S.S., Dzhokhadze, O.M. On solvability of a periodic problem for a nonlinear telegraph equation. Sib Math J 57, 735–743 (2016). https://doi.org/10.1134/S0037446616040157

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  • DOI: https://doi.org/10.1134/S0037446616040157

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