Matrix representation of a sixth order Sturm-Liouville problem and related inverse problem with finite spectrum
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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.
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Journal title
volume 41 issue 4
pages 1031- 1043
publication date 2015-08-01
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