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Periodic Conjugation Problem for Linear Elliptic Equations of Second Order with Constant Coefficients

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dc.date.accessioned 2019-01-22T20:51:28Z
dc.date.available 2019-01-22T20:51:28Z
dc.date.issued 2018
dc.identifier.issn 1995-0802
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/149120
dc.description.abstract © 2018, Pleiades Publishing, Ltd. 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.
dc.relation.ispartofseries Lobachevskii Journal of Mathematics
dc.subject boundary value problem
dc.subject defect number
dc.subject elliptic equation
dc.subject index
dc.subject periodic solution
dc.title Periodic Conjugation Problem for Linear Elliptic Equations of Second Order with Constant Coefficients
dc.type Article
dc.relation.ispartofseries-issue 2
dc.relation.ispartofseries-volume 39
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 165
dc.source.id SCOPUS19950802-2018-39-2-SID85044308143


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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