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Stability of Cauchy-type Singular Integral Equations over an Interval
Authors:Email author" target="_blank">Yong?Jia?XuEmail author
Institution:(1) Department of Statistics, Guangdong Business College, Guangzhou, Guangdong, 510320, P.R. China
Abstract:About the Cauchy type of singular integral equations over an interval, the paper presents three main results: the unified normalization form, the stability property on the smooth function space Cm,mgr, and the pointwise error estimate of the solution for their perturbed equations. As the applications of the main results, the approximate methods for the equation are mentioned. Mathematics Subject Classification (2000) 45E05.
Keywords:stability  singular integral equation  error estimate
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