On the estimations of the small eigenvalues of Sturm–Liouville operators with periodic and antiperiodic boundary conditions

On the estimations of the small eigenvalues of Sturm–Liouville operators with periodic and antiperiodic boundary conditions

Abstract We give a new approach for the estimations of the eigenvalues of non-self-adjoint Sturm–Liouville operators with periodic and antiperiodic boundary conditions. Moreover, we give error estimations, and finally we present some numerical examples.

Bibliographic Details
Main Author: Cemile Nur
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Boundary Value Problems
Subjects:
Eigenvalue estimations
Regular boundary conditions
Numerical methods
Online Access:http://link.springer.com/article/10.1186/s13661-018-1111-y
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spelling doaj-d451306ce21c45928f87014e1a7474502020-11-25T02:17:43ZengSpringerOpenBoundary Value Problems1687-27702018-12-012018111610.1186/s13661-018-1111-yOn the estimations of the small eigenvalues of Sturm–Liouville operators with periodic and antiperiodic boundary conditionsCemile Nur0Department of Electrical & Electronics Engineering, Yalova UniversityAbstract We give a new approach for the estimations of the eigenvalues of non-self-adjoint Sturm–Liouville operators with periodic and antiperiodic boundary conditions. Moreover, we give error estimations, and finally we present some numerical examples.http://link.springer.com/article/10.1186/s13661-018-1111-yEigenvalue estimationsRegular boundary conditionsNumerical methods
collection DOAJ
language English
format Article
sources DOAJ
author Cemile Nur
spellingShingle Cemile Nur
On the estimations of the small eigenvalues of Sturm–Liouville operators with periodic and antiperiodic boundary conditions
Boundary Value Problems
Eigenvalue estimations
Regular boundary conditions
Numerical methods
author_facet Cemile Nur
author_sort Cemile Nur
title On the estimations of the small eigenvalues of Sturm–Liouville operators with periodic and antiperiodic boundary conditions
title_short On the estimations of the small eigenvalues of Sturm–Liouville operators with periodic and antiperiodic boundary conditions
title_full On the estimations of the small eigenvalues of Sturm–Liouville operators with periodic and antiperiodic boundary conditions
title_fullStr On the estimations of the small eigenvalues of Sturm–Liouville operators with periodic and antiperiodic boundary conditions
title_full_unstemmed On the estimations of the small eigenvalues of Sturm–Liouville operators with periodic and antiperiodic boundary conditions
title_sort on the estimations of the small eigenvalues of sturm–liouville operators with periodic and antiperiodic boundary conditions
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2770
publishDate 2018-12-01
description Abstract We give a new approach for the estimations of the eigenvalues of non-self-adjoint Sturm–Liouville operators with periodic and antiperiodic boundary conditions. Moreover, we give error estimations, and finally we present some numerical examples.
topic Eigenvalue estimations
Regular boundary conditions
Numerical methods
url http://link.springer.com/article/10.1186/s13661-018-1111-y
work_keys_str_mv AT cemilenur ontheestimationsofthesmalleigenvaluesofsturmliouvilleoperatorswithperiodicandantiperiodicboundaryconditions
_version_ 1724885674212982784

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