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arXiv · 2009.10681

Renormalized Oscillation Theory for Singular Linear Hamiltonian Systems

Peter Howard·Alim Sukhtayev
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Abstract

Working with a general class of linear Hamiltonian systems with at least one singular boundary condition, we show that renormalized oscillation results can be obtained in a natural way through consideration of the Maslov index associated with appropriately chosen paths of Lagrangian subspaces of $\mathbb{C}^{2n}$. This extends previous work by the authors for regular linear Hamiltonian systems.

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Peter Howard, Alim Sukhtayev. 2020-09-22. Renormalized Oscillation Theory for Singular Linear Hamiltonian Systems. https://arxiv.org/abs/2009.10681

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