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

Elgiz Bairamov and Nihal Yokus

Abstract and Applied Analysis, 2009, vol. 2009, issue 1

Abstract: 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 Naimark and Pavlov conditions for L.

Date: 2009
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https://doi.org/10.1155/2009/289596

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2009:y:2009:i:1:n:289596

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