On the distribution of the eigenvalues of a matrix differential operator

TLDR: In this paper, the authors dealt with the nature of the spectrum associated with the type of second-ordcr matrix differential operator with catain boundary conditions and found that under certain conditions satisfied by the co-efficients of the differential system, the spectrum is discrete.

Abstract: The paper deals with the nature of the spectrum associated with the type of second-ordcr matrix differential operator with catain boundary conditions. It is found that under certain conditions. satisfied by the co-efficients of the differential system, the spectrum is discrete. Some results are then obtained giving distributions of the eigenvalues on the real axis. The method employed depends, among others upon some of the ideas and techniques of E. C. Titchmarsh.