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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2008 Volume 5, Pages 456–464 (Mi semr120)
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The well-posednes of a convolution equations on a finite interval and of a system of Cauchy-type singular integral equations

A. F. Voronin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: We obtain some necessary and sufficient conditions for the well-posednes of a convolution equations on a finite interval and of a system of Cauchy-type singular integral equations.

Keywords: integral equation, convolution, system, well-posedness, Riemann problem, Cauchy-type singular integral equation.

UDC: 517.968, 517.944

MSC: 30E20, 45E05, 45E10, 45F15

Received September 1, 2008, published November 25, 2008



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