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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 7, Pages 39–47
DOI: https://doi.org/10.26907/0021-3446-2019-7-39-47 (Mi ivm9481) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Zigzag-like and spiral-like arcs in boundary-value problems

B. A. Kats

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (362 kB) Citations (5)
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DOI: https://doi.org/10.26907/0021-3446-2019-7-39-47
Abstract: It the paper is dealing with curvilinear integrals over non-smooth paths with application in boundary-value problems. We show that geometry of end-points of the path is of importance for solvability of homogeneous Riemann boundary-value problem on this arc. On a zigzag-like path the numbers of solutions and conditions of solvability are the same as for smooth arcs, but for spiral-like paths these numbers can vary.
Keywords: non-smooth path, curvilinear integral, Cauchy type integral, Riemann boundary-value problem.
Funding agency Grant number
Russian Foundation for Basic Research 18-41-160003_р_а
Received: 27.05.2018
Revised: 07.08.2018
Accepted: 26.09.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 7, Pages 33–40
DOI: https://doi.org/10.3103/S1066369X19070041
Bibliographic databases:
Document Type: Article
UDC: 517.544
Language: Russian
Citation: B. A. Kats, “Zigzag-like and spiral-like arcs in boundary-value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 7, 39–47; Russian Math. (Iz. VUZ), 63:7 (2019), 33–40
Citation in format AMSBIB
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    • This publication is cited in the following 5 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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