Akademik Veri Yönetim Sistemi
International Journal of Mathematics and Mathematical Sciences, cilt.2004, sa.27, ss.1437-1445, 2004 (Scopus)
We investigate the spectrum of the differential operator Lλ defined by the Klein-Gordon s-wave equation y″+ (λ-q (x))2y=0, xε□+= [0,∞), subject to the spectral parameter-dependent boundary condition y′ (0)- (aλ+b)y (0)=0 in the space L2 (□+), where a≠±i, b are complex constants, q is a complex-valued function. Discussing the spectrum, we prove that Lλ has a finite number of eigenvalues and spectral singularities with finite multiplicities if the conditions lim X→∞q (X)=0, sup xεR+ {exp (□x) | q′ (x)|}<∞, □>0, hold. Finally we show the properties of the principal functions corresponding to the spectral singularities. Copyright © 2004 Hindawi Publishing Corporation. All rights reserved.