This article is cited 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.

UDC: 517.544

Received: 06.12.2017
Revised: 06.12.2017
Accepted: 22.03.2018

DOI: 10.26907/0021-3446-2019-2-13-20

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2019, 63:2, 11–17

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