Geodesic
Riemann Problem in a Case of Doubly Periodic Arrangements of Arches. I
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 4, pp. 66-79 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper considers the decision of Riemann problem in a case of doubly periodic arrangements of arches. The case of periodic factor and a free member is regarded. On the basis of results for Riemann problem decision in case of accounting set of contours, generalization on the case of non-periodic jumps is given.
Keywords: Riemann problem, doubly periodic arrangements of arches, elliptic function, quasielliptic function, periodic factor and a free member, accounting set of arches, non-periodic gallop. 
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     title = {Riemann {Problem} in {a~Case} of {Doubly} {Periodic} {Arrangements} of {Arches.~I}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {66--79},
     year = {2008},
     volume = {150},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2008_150_4_a4/}
}
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E. P. Aksenteva; I. G. Salekhova. Riemann Problem in a Case of Doubly Periodic Arrangements of Arches. I. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 4, pp. 66-79. http://geodesic.mathdoc.fr/item/UZKU_2008_150_4_a4/

[1] Chibrikova L. I., “O granichnykh zadachakh dlya pryamougolnika”, Uchen. zap. Kazan. un-ta, 123, no. 10, 1964, 15–39 | MR | Zbl

[2] Aksenteva E. P., Funktsii Veiershtrassa v kraevykh zadachakh, Metodicheskaya razrabotka k spetsialnomu kursu, Izd-vo Kazan. un-ta, Kazan, 1994, 42 pp.

[3] Chibrikova L. I., Osnovnye granichnye zadachi dlya analiticheskikh funktsii, Izd-vo Kazan. un-ta, Kazan, 1977, 302 pp.

[4] Salekhova I. G., “Odnorodnaya zadacha Rimana v sluchae schetnogo mnozhestva razomknutykh dug”, Izv. vuzov. Matematika, 1975, no. 6, 124–135 | Zbl

[5] Muskhelishvili N. I., Singulyarnye integralnye uravneniya, Fizmatgiz, M., 1968, 512 pp. | MR

[6] Golubev V. V., Odnoznachnye analiticheskie funktsii. Avtomorfnye funktsii, Fizmatgiz, M., 1961, 455 pp. | MR