On the Estimations of the Small Periodic Eigenvalues

We estimate the small periodic and semiperiodic eigenvalues of Hill's operator with sufficiently differentiable potential by two different methods. Then using it we give the high precision approximations for the length of th gap in the spectrum of Hill-Sehrodinger operator and for the length of...

Full description

Bibliographic Details
Main Authors:	Seza Dinibütün, O. A. Veliev
Format:	Article
Language:	English
Published:	Hindawi Limited 2013-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2013/145967

id	doaj-64f13b30351f4dd68ea0887b05a90e3f
record_format	Article
spelling	doaj-64f13b30351f4dd68ea0887b05a90e3f2020-11-24T23:56:18ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/145967145967On the Estimations of the Small Periodic EigenvaluesSeza Dinibütün0O. A. Veliev1Department of Mathematics, Dogus University, Acıbadem, Kadiköy, 81010 Istanbul, TurkeyDepartment of Mathematics, Dogus University, Acıbadem, Kadiköy, 81010 Istanbul, TurkeyWe estimate the small periodic and semiperiodic eigenvalues of Hill's operator with sufficiently differentiable potential by two different methods. Then using it we give the high precision approximations for the length of th gap in the spectrum of Hill-Sehrodinger operator and for the length of th instability interval of Hill's equation for small values of Finally we illustrate and compare the results obtained by two different ways for some examples.http://dx.doi.org/10.1155/2013/145967
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Seza Dinibütün O. A. Veliev
spellingShingle	Seza Dinibütün O. A. Veliev On the Estimations of the Small Periodic Eigenvalues Abstract and Applied Analysis
author_facet	Seza Dinibütün O. A. Veliev
author_sort	Seza Dinibütün
title	On the Estimations of the Small Periodic Eigenvalues
title_short	On the Estimations of the Small Periodic Eigenvalues
title_full	On the Estimations of the Small Periodic Eigenvalues
title_fullStr	On the Estimations of the Small Periodic Eigenvalues
title_full_unstemmed	On the Estimations of the Small Periodic Eigenvalues
title_sort	on the estimations of the small periodic eigenvalues
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2013-01-01
description	We estimate the small periodic and semiperiodic eigenvalues of Hill's operator with sufficiently differentiable potential by two different methods. Then using it we give the high precision approximations for the length of th gap in the spectrum of Hill-Sehrodinger operator and for the length of th instability interval of Hill's equation for small values of Finally we illustrate and compare the results obtained by two different ways for some examples.
url	http://dx.doi.org/10.1155/2013/145967
work_keys_str_mv	AT sezadinibutun ontheestimationsofthesmallperiodiceigenvalues AT oaveliev ontheestimationsofthesmallperiodiceigenvalues
_version_	1725458560047906816

On the Estimations of the Small Periodic Eigenvalues

Similar Items