Non-selfadjoint matrix Sturm-Liouville operators with eigenvalue-dependent boundary conditions

作者：Olgun Murat^*

来源：Hacettepe Journal of Mathematics and Statistics, 2015, 44(3): 607-614.

DOI：10.15672/hjms.2015449424

• Eigenvalues
• Spectral Singularities
• Spectral Analysis
• Sturm-Liouville Operator
• Non-Selfadjoint Matrix Operator

In this paper we investigate discrete spectrum of the non-selfadjoint matrix Sturm-Liouville operator L generated in L-2 (R+, S) by the differential expression
l(y) = -y '' + Q (x) y, x is an element of R+ : [0, infinity),
and the boundary condition y'(0) - (beta(0) + beta(1)lambda + beta(2)lambda(2)) y(0) = 0 where Q is a non-selfadjoint matrix valued function. Also using the uniqueness theorem of analytic functions we prove that L has a finite number of eigenvalues and spectral singularities with finite multiplicities.

• 出版日期2015-6