Let denote the operator generated in by the Sturm-Liouville problem: , , , where is a complex valued function and , with In this paper, using the uniqueness theorems of analytic functions, we investigate the eigenvalues and the spectral singularities of . In particular, we obtain the conditions on under which the operator has a finite number of the eigenvalues and the spectral singularities.
Elgiz Bairamov. M. Seyyit Seyyidoglu. "Non-Self-Adjoint Singular Sturm-Liouville Problems with Boundary Conditions Dependent on the Eigenparameter." Abstr. Appl. Anal. 2010 1 - 10, 2010. https://doi.org/10.1155/2010/982749