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

Let L denote the operator generated in L2(R+) by Sturm-Liouville equation −y′′+q(x)y=λ2y, x∈R+=[0,∞), y′(0)/y(0)=α0+α1λ+α2λ2, where q is a complex-valued function and αi∈ℂ, i=0,1,2 with α2≠0. In this article, we investigate the eigenvalues and the spectral singularities of L and obtain analogs of Na...

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Bibliographic Details
Main Authors: Elgiz Bairamov, Nihal Yokus
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2009/289596