КФУ. Карточка публикации. On completeness of the system of eigenfunctions of the Dirichle problem for Lame equations in the strip

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

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2015

Язык

английский

Авторы, сотрудники КФУ

Плещинский Николай Борисович, автор

Стехина Кристина Николаевна, автор

Тумаков Дмитрий Николаевич, автор

Библиографическое описание на языке оригинала

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.

Аннотация

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.

Ключевые слова

Completeness, System of eigenfunctions, Dirichlet problem, Lame equations

Название журнала

Advanced Studies in Theoretical Physics

URL

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

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https://repository.kpfu.ru/?p_id=123130

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Плещинский Николай Борисович	ru_RU
dc.contributor.author	Стехина Кристина Николаевна	ru_RU
dc.contributor.author	Тумаков Дмитрий Николаевич	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/?p_id=123130	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	Статьи в зарубежных журналах и сборниках	ru_RU