Abstract and Applied Analysis
Volume 2009 (2009), Article ID 289596, 8 pages
Research Article

Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions

Department of Mathematics, Ankara University, 06100 Tandogan, Ankara, Turkey

Received 25 June 2009; Accepted 20 August 2009

Academic Editor: Ağacik Zafer

Copyright © 2009 Elgiz Bairamov and Nihal Yokus. 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.


Let L denote the operator generated in L2(R+) by Sturm-Liouville equation y′′+q(x)y=λ2y, xR+=[0,), y(0)/y(0)=α0+α1λ+α2λ2, where q is a complex-valued function and αi, i=0,1,2 with α20. In this article, we investigate the eigenvalues and the spectral singularities of L and obtain analogs of Naimark and Pavlov conditions for L.