KFU. Card publication. On completeness of the system of eigenfunctions of the Dirichle problem for Lame equations in the strip

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

ON COMPLETENESS OF THE SYSTEM OF EIGENFUNCTIONS OF THE DIRICHLE PROBLEM FOR LAME EQUATIONS IN THE STRIP

Form of presentation

Articles in international journals and collections

Year of publication

2015

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Authors, employees of KFU

Pleshhinskiy Nikolay Borisovich, author

Stekhina Kristina Nikolaevna, author

Tumakov Dmitriy Nikolaevich, author

Bibliographic description in the original language

Pleshchinskii N., Stekhina K., Tumakov D. On completeness of the system of eigenfunctions of the Dirichle problem for Lame equations in the strip // Advanced Studies in Theoretical Physics. – 2015. – Vol.9, No.16. – P. 811-820.

Annotation

In the present work, the Dirichlet problem for Lame equations in the strip is considered. A characteristic equation for the problem is obtained. It is shown that the characteristic equation has a denumerable number of simple roots. The conclusion is drawn that any solution to the considered problem can be represented in the form of an eigenfunction series.

Keywords

Completeness, System of eigenfunctions, Dirichlet problem, Lame equations

The name of the journal

Advanced Studies in Theoretical Physics

URL

http://www.m-hikari.com/astp/astp2015/astp13-16-2015/51099.html

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

https://repository.kpfu.ru/eng/?p_id=123130&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Pleshhinskiy Nikolay Borisovich	ru_RU
dc.contributor.author	Stekhina Kristina Nikolaevna	ru_RU
dc.contributor.author	Tumakov Dmitriy Nikolaevich	ru_RU
dc.date.accessioned	2015-01-01T00:00:00Z	ru_RU
dc.date.available	2015-01-01T00:00:00Z	ru_RU
dc.date.issued	2015	ru_RU
dc.identifier.citation	Pleshchinskii N., Stekhina K., Tumakov D. On completeness of the system of eigenfunctions of the Dirichle problem for Lame equations in the strip // Advanced Studies in Theoretical Physics. – 2015. – Vol.9, No.16. – P. 811-820.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=123130&p_lang=2	ru_RU
dc.description.abstract	Advanced Studies in Theoretical Physics	ru_RU
dc.description.abstract	In the present work, the Dirichlet problem for Lame equations in the strip is considered. A characteristic equation for the problem is obtained. It is shown that the characteristic equation has a denumerable number of simple roots. The conclusion is drawn that any solution to the considered problem can be represented in the form of an eigenfunction series.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Completeness	ru_RU
dc.subject	System of eigenfunctions	ru_RU
dc.subject	Dirichlet problem	ru_RU
dc.subject	Lame equations	ru_RU
dc.title	On completeness of the system of eigenfunctions of the Dirichle problem for Lame equations in the strip	ru_RU
dc.type	Articles in international journals and collections	ru_RU