MATRIX REPRESENTATION OF A SIXTH ORDER STURM-LIOUVILLE PROBLEM AND RELATED INVERSE PROBLEM WITH FINITE SPECTRUM.

In this paper, we find matrix representation of a class of sixth order Sturm-Liouville problem (SLP) with separated, self-adjoint boundary conditions and we show that such SLP have finite spectrum. Alsofor a given matrix eigenvalue problem HX = λV X, where H is a block tridiagonal matrix and V is a block diagonal matrix, we find a sixth order boundary value problem of Atkinson type that is equivalent to matrix eigenvalue problem. [ABSTRACT FROM AUTHOR]