On Disconjugacy for Sturm-Liouville Difference Equations
We derive a Reid roundabout Theorem for Sturm-liouville Difference Equations of higher order by applying general results on linear Hamiltonian Difference Systems. This theorem gives conditions that are equivalent to the positive definiteness of a certain discrete quardratic functional among them disconjugacy of the related Sturm-Liouville Difference Equation and solvability of a certain discrete Riccati Matrix Equation.
M. Bohner, "On Disconjugacy for Sturm-Liouville Difference Equations," Journal of Difference Equations and Applications, Taylor & Francis, Jan 1996.
The definitive version is available at https://doi.org/10.1080/10236199608808057
Mathematics and Statistics
Article - Journal
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