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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 5, Pages 71–76 (Mi ivm9239)  
This article is cited in 4 scientific papers (total in 4 papers)

A new approach to solving homogeneous Riemann boundary-value problem on a ray with infinite index

R. B. Salimov, A. Z. Suleimanov

Kazan State Architecture and Civil Engineering University, 1 Zelyonaya str., Kazan, 420043 Russia
Full-text PDF (165 kB) Citations (4)
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Abstract: We consider Riemann boundary-value problem with infinite index where the edge condition of a problem is given on positive real axis of a complex plane. To solve this problem we use an approach based on the removal of the infinite discontinuity of the argument of coefficient of boundary condition. The approach is analogous to that e one which, in the case of finite index of the problem in papers by F. D. Gakhov, helps to remove a discontinuity of coefficient of boundary condition with specially selected functions, different from the ones in this paper.
Keywords: Riemann boundary-value problem, analytical function, infinite index.
Received: 06.10.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 5, Pages 61–65
DOI: https://doi.org/10.3103/S1066369X17050085
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: R. B. Salimov, A. Z. Suleimanov, “A new approach to solving homogeneous Riemann boundary-value problem on a ray with infinite index”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 5, 71–76; Russian Math. (Iz. VUZ), 61:5 (2017), 61–65
Citation in format AMSBIB
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\issue 5
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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