KFU. Card publication. The Doubly Periodic « jump» Problem for a Second- Order Linear Elliptic Equation With Constant Coefficients

KAZAN
FEDERAL UNIVERSITY

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THE DOUBLY PERIODIC &LAQUO; JUMP&RAQUO; PROBLEM FOR A SECOND- ORDER LINEAR ELLIPTIC EQUATION WITH CONSTANT COEFFICIENTS

Form of presentation

Articles in international journals and collections

Year of publication

2019

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Authors, employees of KFU

Bikchantaev Ildar Akhmedovich, author

Bibliographic description in the original language

Bikchantaev I.A. The Doubly Periodic « jump» Problem for a Second- Order Linear Elliptic Equation With Constant Coefficients/ Russian Mathematics,- 2019,-V. 63,- No. 2, pp. 11-16

Annotation

For a homogeneous differential equation of the second order of elliptic type with constant coefficients, we study the boundary value problem of finding doubly periodic solutions for a given jump of their and their derivatives on a smooth and non-rectifiable closed contour. The necessary and sufficient conditions for the solvability of the problem are obtained, explicit formulas for its solution are obtained.

Keywords

elliptic equation, boundary value problem, doubly periodic functions

The name of the journal

Russian Mathematics

URL

http://www.springer.com/mathematics/journal/11982

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=198348&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Bikchantaev Ildar Akhmedovich	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	Bikchantaev I.A. The Doubly Periodic « jump» Problem for a Second- Order Linear Elliptic Equation With Constant Coefficients/ Russian Mathematics,- 2019,-V. 63,- No. 2, pp. 11-16	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=198348&p_lang=2	ru_RU
dc.description.abstract	Russian Mathematics	ru_RU
dc.description.abstract	For a homogeneous differential equation of the second order of elliptic type with constant coefficients, we study the boundary value problem of finding doubly periodic solutions for a given jump of their and their derivatives on a smooth and non-rectifiable closed contour. The necessary and sufficient conditions for the solvability of the problem are obtained, explicit formulas for its solution are obtained.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	elliptic equation	ru_RU
dc.subject	boundary value problem	ru_RU
dc.subject	doubly periodic functions	ru_RU
dc.title	The Doubly Periodic « jump» Problem for a Second- Order Linear Elliptic Equation With Constant Coefficients	ru_RU
dc.type	Articles in international journals and collections	ru_RU