Spectral Singularities of Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions. (28th September 2009)

• Record Type: Journal Article
• Authors: Bairamov, Elgiz; Yokus, Nihal
• Other Names: Zafer Ağacik Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2009(2009)
• Publication Date: 2009-09-28
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2009/289596
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : LetL denote the operator generated inL 2 ( R + ) by Sturm-Liouville equation− y ′′ + q ( x ) y = λ 2 y, x ∈ R + = [ 0, ∞ ), y ′ ( 0 ) / y ( 0 ) = α 0 + α 1 λ + α 2 λ 2, whereq is a complex-valued function andα i ∈ ℂ, i = 0, 1, 2 withα 2 ≠ 0 . In this article, we investigate the eigenvalues and the spectral singularities ofL and obtain analogs of Naimark and Pavlov conditions forL .