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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
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
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
Linking options:
https://www.mathnet.ru/eng/ivm9435 https://www.mathnet.ru/eng/ivm/y2019/i2/p13
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