Spectral singularities of Sturm-Liouville problems with eigenvalue-dependent boundary conditions.
Non-self-adjoint singular Sturm-Liouville problems with boundary conditions dependent on the eigenparameter.
Jost solution and the spectrum of the discrete Dirac systems.
Discrete spectrum and principal functions of non-selfadjoint differential operator
In this article, we consider the operator defined by the differential expression in , where is a complex valued function. Discussing the spectrum, we prove that has a finite number of eigenvalues and spectral singularities, if the condition holds. Later we investigate the properties of the principal functions corresponding to the eigenvalues and the spectral singularities.
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