Spectral inclusion and spectral exactness for singular non-self-adjoint Sturm-Liouville problems

Authors
Brown, BM Marletta, M
Citation
Bm. Brown et M. Marletta, Spectral inclusion and spectral exactness for singular non-self-adjoint Sturm-Liouville problems, P ROY SOC A, 457(2005), 2001, pp. 117-139
Citations number
26
Categorie Soggetti
Multidisciplinary
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
ISSN journal
13645021 → ACNP
Volume
457
Issue
2005
Year of publication
2001
Pages
117 - 139
Database
ISI
SICI code
1364-5021(20010108)457:2005<117:SIASEF>2.0.ZU;2-J
Abstract
We consider the effect of regularization by interval truncation on the spec trum of a singular non-self-adjoint Sturm-Liouville operator. We present re sults 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 presen t a test for spectral inexactness, which can be used to detect when the int erval truncation process is generating spurious eigenvalues. Numerical resu lts illustrate the effectiveness of this test.