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ISSN 1683-3414 (Print) • ISSN 1814-0807 (Online) | |
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DOI: 10.23671/VNC.2014.1.7423 Subdomains method for solution of a singular first kind integral equation with Cauchy kernel
Abstract:
The method of subdomains solution of a singular integral equation of the first kind with Cauchy kernel is investigated. A pair of weight spaces, which are the narrowing of the space of continuous functions are introduced. The correctness of the equations on this pair of spaces is proved. Sufficient conditions for the convergence of the method of subdomains in the uniform metric are established.
Keywords: singular integral equations, Cauchy kernel, method of subdomains
Language: Russian
For citation: Hajrullina L. E. , Habibullina G.Z. Subdomains method for solution of a singular first kind integral equation with Cauchy kernel. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol.
16, no. 1, pp.50-56.
DOI 10.23671/VNC.2014.1.7423
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