Non‐Self‐Adjoint Singular Sturm‐Liouville Problems with Boundary Conditions Dependent on the Eigenparameter

Elgiz Bairamov and M. Seyyit Seyyidoglu

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: Let A denote the operator generated in L2(ℛ+) by the Sturm‐Liouville problem: −y′′ + q(x)y = λ2y, x ∈ ℛ+ = [0, ∞), (y′/y)(0) = (β1λ + β0)/(α1λ + α0), where q is a complex valued function and α0, α1, β0, β1 ∈ 𝒞, with α0β1 − α1β0 ≠ 0. In this paper, using the uniqueness theorems of analytic functions, we investigate the eigenvalues and the spectral singularities of A. In particular, we obtain the conditions on q under which the operator A has a finite number of the eigenvalues and the spectral singularities.

Date: 2010
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2010/982749

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:982749

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().