ON EXACT AND APPROXIMATE SOLUTIONS OF SIN GULAR INTEGRAL-EQUATION WITH CAUCHY KERNEL ON THE REAL SEMI-AXIS

Citation
Ma. Sheshko et al., ON EXACT AND APPROXIMATE SOLUTIONS OF SIN GULAR INTEGRAL-EQUATION WITH CAUCHY KERNEL ON THE REAL SEMI-AXIS, Doklady Akademii nauk BSSR, 41(6), 1997, pp. 43-48
Citations number
5
Categorie Soggetti
Multidisciplinary Sciences
Journal title
ISSN journal
0002354X
Volume
41
Issue
6
Year of publication
1997
Pages
43 - 48
Database
ISI
SICI code
0002-354X(1997)41:6<43:OEAASO>2.0.ZU;2-I
Abstract
The singular integral equation with Cauchy kernel taken over the are ( 0, +infinity) is investigated. In particular case, the solution of equ ation [GRAPHICS] is obtained. Futhermore, the approximate solution of the equation called in the paper title with respect to all values of t he index is given. An estimate for the rate of convergence is also giv en.