A Sturm-Liouville theorem is proved for quadratic operator pencils to count unstable real roots, with applications to wave stability.
Furutani, Fredholm-Lagrangian-Grassmannian and the Maslov index, Journal of Ge- ometry and Physics 51 (2004) 269 – 331
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A Sturm Liouville theorem for quadratic operator pencils
A Sturm-Liouville theorem is proved for quadratic operator pencils to count unstable real roots, with applications to wave stability.