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arXiv · 1907.05679

A Sturm Liouville theorem for quadratic operator pencils

Alim Sukhtayev·Kevin Zumbrun
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Abstract

We establish a Sturm{Liouville theorem for quadratic operator pencils 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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Alim Sukhtayev, Kevin Zumbrun. 2019-07-12. A Sturm Liouville theorem for quadratic operator pencils. https://arxiv.org/abs/1907.05679

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