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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 4, Pages 54–71
(Mi ivm7290)
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This article is cited in 2 scientific papers (total in 2 papers)
Some cases of the solvability in a closed form of singular integral equations and two-dimensional characteristic systems
S. N. Kiyasov Chair of Differential Equations, Kazan State University, Kazan, Russia
Abstract:
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.
Received: 23.09.2009
Citation:
S. N. Kiyasov, “Some cases of the solvability in a closed form of singular integral equations and two-dimensional characteristic systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 4, 54–71; Russian Math. (Iz. VUZ), 55:4 (2011), 44–59
Linking options:
https://www.mathnet.ru/eng/ivm7290 https://www.mathnet.ru/eng/ivm/y2011/i4/p54
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