On Disconjugacy for Sturm-Liouville Difference Equations

Martin Bohner

doi:10.1080/10236199608808057

On Disconjugacy for Sturm-Liouville Difference Equations

Martin Bohner

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	American English
Journal	Journal of Difference Equations and Applications
DOIs	https://doi.org/10.1080/10236199608808057
State	Published - Jan 1 1996

Disciplines

Mathematics
Statistics and Probability

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https://doi.org/10.1080/10236199608808057

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abstract = " 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.",

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AB - 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.

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ER -

On Disconjugacy for Sturm-Liouville Difference Equations

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