Periodic Conjugation Problem for Linear Elliptic Equations of Second Order with Constant Coefficients
- 作者: Bikchantaev I.1
-
隶属关系:
- N.I. Lobachevskii Institute of Mathematics and Mechanics
- 期: 卷 39, 编号 2 (2018)
- 页面: 165-168
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201291
- DOI: https://doi.org/10.1134/S199508021802004X
- ID: 201291
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详细
We consider a periodic problem of conjugation on the real axis for a linear differential elliptic equation of second order with constant coefficients. There is known a representation of general solution of the equation in terms of analytic functions depending on affine connected variables. We introduce auxiliary analytic functions enabling us to reduce the problem to a system of two periodic Riemann boundary value problems. That problem was solved first by L. I. Chibrikova. We use her results for solving of our problem. We obtain its explicit solution and conditions of solvability, evaluate the index and defect numbers.
作者简介
I. Bikchantaev
N.I. Lobachevskii Institute of Mathematics and Mechanics
编辑信件的主要联系方式.
Email: ibikchan@kpfu.ru
俄罗斯联邦, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008