S. S. Kharibegashvili, O. M. Dzhokhadze, “On solvability of a periodic problem for a nonlinear telegraph equation”, Sibirsk. Mat. Zh., 2016, Volume 57, Number 4,Pages <nobr>940

This article is cited in 2 papers

On solvability of a periodic problem for a nonlinear telegraph equation

S. S. Kharibegashvili^ab, O. M. Dzhokhadze^cb

^a Georgian Technical University, Tbilisi, Georgia
^b Razmadze Mathematical Institute, Tbilisi State University, Tbilisi, Georgia
^c Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia

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.

Keywords: nonlinear telegraph equation, periodic problem, Dirichlet and Poincaré boundary conditions.

UDC: 517.956.35

Received: 23.03.2015
Revised: 21.03.2016

DOI: 10.17377/smzh.2016.57.415