The limit-point/limit-circle classification for ordinary differential equations with distributional coefficients
Spectral Theory
2023-09-12 v1 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
We investigate the limit-point/limit-circle classification for the differential equation where and and are matrices whose entries are distributions of order zero with Hermitian and non-negative. We identify the situations when the classical alternative of Weyl works and when it fails.
Cite
@article{arxiv.2309.05068,
title = {The limit-point/limit-circle classification for ordinary differential equations with distributional coefficients},
author = {Varun Bhardwaj and Rudi Weikard},
journal= {arXiv preprint arXiv:2309.05068},
year = {2023}
}