On Bounds of Eigenvalues of Complex Sturm-Liouville Boundary Value Problems

The paper is concerned with eigenvalues of complex Sturm-Liouville boundary value problems. Lower bounds on the real parts of all eigenvalues are given in terms of the coefficients of the corresponding equation and the bound on the imaginary part of each eigenvalue is obtained in terms of the coeffi...

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Main Authors: Wenwen Jian, Huaqing Sun
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/362340
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author Wenwen Jian
Huaqing Sun
author_facet Wenwen Jian
Huaqing Sun
author_sort Wenwen Jian
collection DOAJ
description The paper is concerned with eigenvalues of complex Sturm-Liouville boundary value problems. Lower bounds on the real parts of all eigenvalues are given in terms of the coefficients of the corresponding equation and the bound on the imaginary part of each eigenvalue is obtained in terms of the coefficients of this equation and the real part of the eigenvalue.
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institution Kabale University
issn 1085-3375
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publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-ed8f64637770454ca6b26bfda3734bca2025-02-03T07:25:13ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/362340362340On Bounds of Eigenvalues of Complex Sturm-Liouville Boundary Value ProblemsWenwen Jian0Huaqing Sun1Department of Mathematics, Shandong University at Weihai, Weihai, Shandong 264209, ChinaDepartment of Mathematics, Shandong University at Weihai, Weihai, Shandong 264209, ChinaThe paper is concerned with eigenvalues of complex Sturm-Liouville boundary value problems. Lower bounds on the real parts of all eigenvalues are given in terms of the coefficients of the corresponding equation and the bound on the imaginary part of each eigenvalue is obtained in terms of the coefficients of this equation and the real part of the eigenvalue.http://dx.doi.org/10.1155/2014/362340
spellingShingle Wenwen Jian
Huaqing Sun
On Bounds of Eigenvalues of Complex Sturm-Liouville Boundary Value Problems
Abstract and Applied Analysis
title On Bounds of Eigenvalues of Complex Sturm-Liouville Boundary Value Problems
title_full On Bounds of Eigenvalues of Complex Sturm-Liouville Boundary Value Problems
title_fullStr On Bounds of Eigenvalues of Complex Sturm-Liouville Boundary Value Problems
title_full_unstemmed On Bounds of Eigenvalues of Complex Sturm-Liouville Boundary Value Problems
title_short On Bounds of Eigenvalues of Complex Sturm-Liouville Boundary Value Problems
title_sort on bounds of eigenvalues of complex sturm liouville boundary value problems
url http://dx.doi.org/10.1155/2014/362340
work_keys_str_mv AT wenwenjian onboundsofeigenvaluesofcomplexsturmliouvilleboundaryvalueproblems
AT huaqingsun onboundsofeigenvaluesofcomplexsturmliouvilleboundaryvalueproblems