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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2013, Volume 155, Book 2, Pages 108–122
(Mi uzku1201)
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This article is cited in 1 scientific paper (total in 1 paper)
A Mixed Problem for a Plane with Rectilinear Cuts
I. G. Salekhova, M. M. Yakhina Kazan (Volga Region) Federal University
Abstract:
We solve a mixed problem for a plane $u^{+}(t)=f^{+}(t)$, $v^{-}(t)=g^{-}(t)$, $t\in L$, where $L$ is the union of a finite or denumerable set of segments (including those arranged periodically) with an accumulation point at infinity. For a denumerable set of segments, the problem is solved by the reduction to the corresponding Riemann problem in the case of a denumerable set of circuits, including those arranged periodically.
Keywords:
mixed problem for a plane, Riemann problem, singly periodic arrangement of segments, singly periodic function, doubly periodic arrangement of segments, elliptic function, quasi-elliptic function.
Received: 12.03.2013
Citation:
I. G. Salekhova, M. M. Yakhina, “A Mixed Problem for a Plane with Rectilinear Cuts”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155, no. 2, Kazan University, Kazan, 2013, 108–122
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https://www.mathnet.ru/eng/uzku1201 https://www.mathnet.ru/eng/uzku/v155/i2/p108
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Abstract page: | 314 | Full-text PDF : | 178 | References: | 106 |
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