A note on eigenvalues of ordinary differential operators.

Ho, Alan. "A note on eigenvalues of ordinary differential operators.." Revista Matemática Iberoamericana 13.2 (1997): 403-410. <http://eudml.org/doc/39537>.

@article{Ho1997,
abstract = {In this follow-up on the work of Fefferman-Seco [FS] an improved condition for the discrete eigenvalues of the operator -d2 / dx2 + V(x) is established for V(x) satisfying certain hypotheses. The eigenvalue condition in [FS] establishes eigenvalues of this operator to within a small error. Through an obervation due to C. Fefferman, the order of accuracy can be improved if a certain condition is true. This paper improves on the result obtained in [FS] by showing that this condition does indeed hold.},
author = {Ho, Alan},
journal = {Revista Matemática Iberoamericana},
keywords = {Operadores diferenciales; Autovalores; ordinary differential operators; asymptotic formula; standard WKB method; eigenvalues},
language = {eng},
number = {2},
pages = {403-410},
title = {A note on eigenvalues of ordinary differential operators.},
url = {http://eudml.org/doc/39537},
volume = {13},
year = {1997},
}

TY - JOUR
AU - Ho, Alan
TI - A note on eigenvalues of ordinary differential operators.
JO - Revista Matemática Iberoamericana
PY - 1997
VL - 13
IS - 2
SP - 403
EP - 410
AB - In this follow-up on the work of Fefferman-Seco [FS] an improved condition for the discrete eigenvalues of the operator -d2 / dx2 + V(x) is established for V(x) satisfying certain hypotheses. The eigenvalue condition in [FS] establishes eigenvalues of this operator to within a small error. Through an obervation due to C. Fefferman, the order of accuracy can be improved if a certain condition is true. This paper improves on the result obtained in [FS] by showing that this condition does indeed hold.
LA - eng
KW - Operadores diferenciales; Autovalores; ordinary differential operators; asymptotic formula; standard WKB method; eigenvalues
UR - http://eudml.org/doc/39537
ER -