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Open Accesshttps://doi.org/10.1016/j.jde.2019.10.010
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Cite Journal: Journal of Differential Equations |  Publication Date: Oct 22, 2019 |
 Citations: 2 |  License type: publisher-specific-oa |
Affiliation: Miami University, Indiana University Bloomington
We establish a Sturm–Liouville theorem for quadratic operator pencils with matrix-valued potentials counting their unstable real roots, with applications to stability of waves. Such pencils arise, for example, in reduction of eigenvalue systems to higher-order scalar problems.
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