Two classes of weakly ill-posed problems of integral geometry on the plane
type: Item
instance of: scholarly article
title: Two classes of weakly ill-posed problems of integral geometry on the plane
zbMATH Open document ID: 0856.53051
DOI: 10.1007/BF02110144
author: Akram Kh. Begmatov
published in: Siberian Mathematical Journal
publication date: 1996-09-03T00:00:00Z
review text: The paper contains a uniqueness theorem for the integral equation \[ \int^{x+\sqrt y}_{x-\sqrt y} g(x,\xi)u \bigl(\xi,y-(x-\xi)^2\bigr) d\xi+\int^y_0\int^{x+h}_{x-h} K(x,y, \xi, \eta)u(\xi,\eta)d\xi d\eta={\mathcal F}(x,y), \] where \(h= \sqrt{y-\eta}\) and \(g(x,\xi) = \text{sgn} (x-\xi)\) or \(g(x,\xi)=|x-\xi|\).
Mathematics Subject Classification ID: 53C65
Mathematics Subject Classification ID: 44A12
Mathematics Subject Classification ID: 92C55
zbMATH DE Number: 923495
zbMATH Keywords: integral geometry on the plane
zbMATH Keywords: uniqueness
zbMATH Keywords: integral equation
reviewed by: Adrijan V. Borisov
MaRDI profile type: Publication
cites work: Q5676616
cites work: Q3908010
full work available at URL: https://doi.org/10.1007/bf02110144
OpenAlex ID: W2046664846
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description: scientific article; zbMATH DE number 923495