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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 2, Pages 13–20
DOI: https://doi.org/10.26907/0021-3446-2019-2-13-20 (Mi ivm9435) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Doubly periodic problem on a jump for linear elliptic second order equation with constant coefficients

I. A. Bikchantaev

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (191 kB) Citations (2)
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DOI: https://doi.org/10.26907/0021-3446-2019-2-13-20
Abstract: For homogneous differential equation of the second order with constant coefficients we investigate boundary-value problem of finding the doubly periodic solutions for a given jump, and for their derivatives on smooth and nonrectifiable closed contour. We obtain necessary and sufficient conditions for the solvability of the problem and explicit formulas for its solving.
Keywords: elliptic equation, boundary-value problem, doubly periodic function.
Received: 06.12.2017
Revised: 06.12.2017
Accepted: 22.03.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 2, Pages 11–17
DOI: https://doi.org/10.3103/S1066369X19020026
Bibliographic databases:
Document Type: Article
UDC: 517.544
Language: Russian
Citation: I. A. Bikchantaev, “Doubly periodic problem on a jump for linear elliptic second order equation with constant coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 2, 13–20; Russian Math. (Iz. VUZ), 63:2 (2019), 11–17
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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