Existence and stability of rapidly oscillating cycles for the nonlinear telegraph equation
type: Item
instance of: scholarly article
title: Existence and stability of rapidly oscillating cycles for the nonlinear telegraph equation
zbMATH Open document ID: 0969.35093
author: V. F. Kambulov
author: A. Yu. Kolesov
author: N. Kh. Rozov
published in: Computational Mathematics and Mathematical Physics
publication date: 2001-09-18T00:00:00Z
review text: Investigations of self-induced oscillations in the singularly perturbed systems are represented. The existence and stability conditions are established for the nonlinear wave equation with a low diffusion of cycles that rapidly oscillate with respect to the spatial variable, that is for periodic solutions with a specific relaxation behavior.
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 1472950
zbMATH Keywords: self-induced oscillations
zbMATH Keywords: nonlinear wave equation with a low diffusion
zbMATH Keywords: specific relaxation behavior
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1472950