Approximations of singular integral equations on Lyapunov contours in Banach spaces
type: Item
instance of: scholarly article
title: Approximations of singular integral equations on Lyapunov contours in Banach spaces
zbMATH Open document ID: 1089.65138
author: N. E. Zubov
publication date: 2006-02-06T00:00:00Z
review text: Existence theorems are proved for singular integral eguations on Lyapunov contours in Banach spaces. An approximate solution of the considered equation is constructed and the convergence to unique solution is proved and the rate of the convergence is given. These singular integral equations are widely used for the solution of a big level of problems of applied mechanics, like thermoelastoplasticy, viscoelasticity, hydrodynamics, fluid mechanics and fracture mechanics.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 45N05
zbMATH DE Number: 5003740
zbMATH Keywords: singular integral equations
zbMATH Keywords: Lyapunov contours in Banach spaces
zbMATH Keywords: Faber polynomials
zbMATH Keywords: Hölder's condition
zbMATH Keywords: convergence
reviewed by: Lechoslaw Hącia
MaRDI profile type: Publication
full work available at URL: j.camwa.2005.01.025
OpenAlex ID: W1977120916
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DOI: 10.1016/J.CAMWA.2005.01.025
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 5003740