Geodesic
Asymptotic behavior of the solution of a~singular integral equation with a~small parameter
Sbornik. Mathematics, Tome 29 (1976) no. 3, pp. 411-429

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We construct an asymptotic expansion as $h\to0$ that is uniform in $x\geqslant0$ of the solution of the singular integral equation $$ \int^\infty_0\frac{\rho(t)}{x-t}\,dt+\int^\infty_0K(x-t,h)\rho(t)\,dt=f(x). $$ Bibliography: 3 titles. 
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     author = {V. Yu. Novokshenov},
     title = {Asymptotic behavior of the solution of a~singular integral equation with a~small parameter},
     journal = {Sbornik. Mathematics},
     pages = {411--429},
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     volume = {29},
     number = {3},
     year = {1976},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1976_29_3_a8/}
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V. Yu. Novokshenov. Asymptotic behavior of the solution of a~singular integral equation with a~small parameter. Sbornik. Mathematics, Tome 29 (1976) no. 3, pp. 411-429. http://geodesic.mathdoc.fr/item/SM_1976_29_3_a8/