Renormalized oscillation theory for linear Hamiltonian systems on [0,1] via the Maslov index
Classical Analysis and ODEs
2021-12-14 v2
Abstract
Working with a general class of linear Hamiltonian systems on , 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 . We verify that our applicability class includes Dirac and Sturm-Liouville systems, as well as a system arising from differential-algebraic equations for which the spectral parameter appears nonlinearly.
Keywords
Cite
@article{arxiv.1808.08264,
title = {Renormalized oscillation theory for linear Hamiltonian systems on [0,1] via the Maslov index},
author = {Peter Howard and Alim Sukhtayev},
journal= {arXiv preprint arXiv:1808.08264},
year = {2021}
}