Spectral inclusion and spectral exactness for singular non-selfadjoint Sturm-Liouville problems
Brown, B. M. ; Marletta, M.
arXiv, 0006218 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-06-28
Classification:  Mathematics - Spectral Theory,  Mathematical Physics,  Mathematics - Classical Analysis and ODEs,  Mathematics - Numerical Analysis,  34L,34B20, 47A74, 65L15 
@article{0006218,
     author = {Brown, B. M. and Marletta, M.},
     title = {Spectral inclusion and spectral exactness for singular non-selfadjoint
  Sturm-Liouville problems},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0006218}
}

Brown, B. M.; Marletta, M. Spectral inclusion and spectral exactness for singular non-selfadjoint
  Sturm-Liouville problems. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0006218/