Geodesic
Doubly periodic problem on a jump~for linear elliptic second order equation with constant coefficients
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2019), pp. 13-20

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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.
Mots-clés : elliptic equation
Keywords: boundary-value problem, doubly periodic function. 
@article{IVM_2019_2_a1,
     author = {I. A. Bikchantaev},
     title = {Doubly periodic problem on a jump~for linear elliptic second order equation with constant coefficients},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {13--20},
     publisher = {mathdoc},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_2_a1/}
}
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I. A. Bikchantaev. Doubly periodic problem on a jump~for linear elliptic second order equation with constant coefficients. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2019), pp. 13-20. http://geodesic.mathdoc.fr/item/IVM_2019_2_a1/