Renormalized Oscillation Theory for Singular Linear Hamiltonian Systems
Classical Analysis and ODEs
2020-09-23 v1
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 . This extends previous work by the authors for regular linear Hamiltonian systems.
Cite
@article{arxiv.2009.10681,
title = {Renormalized Oscillation Theory for Singular Linear Hamiltonian Systems},
author = {Peter Howard and Alim Sukhtayev},
journal= {arXiv preprint arXiv:2009.10681},
year = {2020}
}
Comments
55 pages, 2 figures