Geodesic
Some cases of the solvability in a closed form of singular integral equations and two-dimensional characteristic systems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2011), pp. 54-71 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the characteristic system of singular integral equations for two unknown functions. We obtain certain relations connecting coefficients of the system which allow one to solve the latter in a closed form. Based on the obtained results, we consider cases of the solvability in a closed form for one class of singular integral equations.
Keywords: matrix-function, factorization, singular integral equation, linear boundary value problem. 
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     title = {Some cases of the solvability in a~closed form of singular integral equations and two-dimensional characteristic systems},
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S. N. Kiyasov. Some cases of the solvability in a closed form of singular integral equations and two-dimensional characteristic systems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2011), pp. 54-71. http://geodesic.mathdoc.fr/item/IVM_2011_4_a5/

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