Non-selfadjoint matrix Sturm–Liouville operators with spectral singularities

Abstract: In this paper we investigate discrete spectrum of the non-selfadjoint matrix Sturm–Liouville operator L generated in by the differential expressionand the boundary condition . Under the conditionusing the uniqueness theorem of analytic functions we prove that L has a finite number of eigenvalues and spectral singularities with finite multiplicities. [Copyright &y& Elsevier]