Kazan (Volga region) Federal University, KFU
KAZAN
FEDERAL UNIVERSITY
 
ON COMPLETENESS OF THE SYSTEM OF EIGENFUNCTIONS OF THE DIRICHLE PROBLEM FOR LAME EQUATIONS IN THE STRIP
Form of presentationArticles in international journals and collections
Year of publication2015
Языканглийский
  • 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

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