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2009 Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions
Elgiz Bairamov, Nihal Yokus
Abstr. Appl. Anal. 2009: 1-8 (2009). DOI: 10.1155/2009/289596

Abstract

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 ofNaimark and Pavlov conditions for L.

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Elgiz Bairamov. Nihal Yokus. "Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions." Abstr. Appl. Anal. 2009 1 - 8, 2009. https://doi.org/10.1155/2009/289596

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1228.34136
MathSciNet: MR2559273
Digital Object Identifier: 10.1155/2009/289596

Rights: Copyright © 2009 Hindawi

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