Rapid convergence for telegraph systems with periodic boundary conditions
type: Item
instance of: scholarly article
title: Rapid convergence for telegraph systems with periodic boundary conditions
zbMATH Open document ID: 1380.35127
DOI: 10.1155/2017/1982568
author: Peiguang Wang
author: Xiang Liu
published in: Journal of Function Spaces
publication date: 2017-12-06T00:00:00Z
review text: Summary: The generalized quasilinearization method is applied in this paper to a telegraph system with periodic boundary conditions. We consider the case in which the forcing function \(F(t, x, U)\) satisfies the following condition: \(\partial^{n - 1} F(t, x, U)/\partial U^{n - 1}\) exists and is quasimonotone nondecreasing or nonincreasing. We develop nonlinear iterates of order \(n - 1\) which will be different with \(n\) being even or odd. Finally, we develop two sequences which converge to the solution of the telegraph system and the convergence is of order \(n\).
Mathematics Subject Classification ID: 35L71
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 6816052
zbMATH Keywords: periodicity in time and space
zbMATH Keywords: generalized quasilinearization method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/1982568
OpenAlex ID: W2768483569
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description: scientific article; zbMATH DE number 6816052