Spectral inclusion and spectral exactness for singular non-selfadjoint Sturm-Liouville problems
Spectral Theory
2025-10-20 v1 Numerical Analysis
Mathematical Physics
Classical Analysis and ODEs
math.MP
Numerical Analysis
Abstract
We consider the effect of regularization by interval truncation on the spectrum of a singular non-selfadjoint Sturm-Liouville operator. We present results on spectral inclusion and spectral exactness for the cases where the singularity is in Sims Case II or Sims Case III. For Sims Case I we present a test for spectral inexactness, which can be used to detect when the interval truncation process is generating spurious eigenvalues. Numerical results illustrate the effectiveness of this test.
Keywords
Cite
@article{arxiv.math/0006218,
title = {Spectral inclusion and spectral exactness for singular non-selfadjoint Sturm-Liouville problems},
author = {B. M. Brown and M. Marletta},
journal= {arXiv preprint arXiv:math/0006218},
year = {2025}
}