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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 362340, 4 pages
Research Article

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

Department of Mathematics, Shandong University at Weihai, Weihai, Shandong 264209, China

Received 25 March 2014; Accepted 1 May 2014; Published 12 May 2014

Academic Editor: Shurong Sun

Copyright © 2014 Wenwen Jian and Huaqing Sun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.