Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran
Abstract
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. Also for a given matrix eigenvalue problem $HX=\lambda VX$, 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.
Mirzaei, H. &., & Ghanbari, K. (2015). Matrix representation of a sixth order Sturm-Liouville problem and related inverse problem with finite spectrum. Bulletin of the Iranian Mathematical Society, 41(4), 1031-1043.
MLA
Mirzaei, H. &., & Ghanbari, K. "Matrix representation of a sixth order Sturm-Liouville problem and related inverse problem with finite spectrum", Bulletin of the Iranian Mathematical Society, 41, 4, 2015, 1031-1043.
HARVARD
Mirzaei H. &., Ghanbari K. (2015). 'Matrix representation of a sixth order Sturm-Liouville problem and related inverse problem with finite spectrum', Bulletin of the Iranian Mathematical Society, 41(4), pp. 1031-1043.
CHICAGO
H. &. Mirzaei & K. Ghanbari, "Matrix representation of a sixth order Sturm-Liouville problem and related inverse problem with finite spectrum," Bulletin of the Iranian Mathematical Society, 41 4 (2015): 1031-1043,
VANCOUVER
Mirzaei H. &., Ghanbari K. Matrix representation of a sixth order Sturm-Liouville problem and related inverse problem with finite spectrum. BIMS. 2015;41(4):1031-1043.
