Minimality of the system of root functions of Sturm-Liouville problems with decreasing affine boundary conditions

Y. N. Aliyev. "Minimality of the system of root functions of Sturm-Liouville problems with decreasing affine boundary conditions." Colloquium Mathematicae 109.1 (2007): 147-162. <http://eudml.org/doc/284284>.

@article{Y2007,
abstract = {We consider Sturm-Liouville problems with a boundary condition linearly dependent on the eigenparameter. We study the case of decreasing dependence where non-real and multiple eigenvalues are possible. By determining the explicit form of a biorthogonal system, we prove that the system of root (i.e. eigen and associated) functions, with an arbitrary element removed, is a minimal system in L₂(0,1), except for some cases where this system is neither complete nor minimal.},
author = {Y. N. Aliyev},
journal = {Colloquium Mathematicae},
keywords = {Sturm Liouville problem; minimal system; root functions},
language = {eng},
number = {1},
pages = {147-162},
title = {Minimality of the system of root functions of Sturm-Liouville problems with decreasing affine boundary conditions},
url = {http://eudml.org/doc/284284},
volume = {109},
year = {2007},
}

TY - JOUR
AU - Y. N. Aliyev
TI - Minimality of the system of root functions of Sturm-Liouville problems with decreasing affine boundary conditions
JO - Colloquium Mathematicae
PY - 2007
VL - 109
IS - 1
SP - 147
EP - 162
AB - We consider Sturm-Liouville problems with a boundary condition linearly dependent on the eigenparameter. We study the case of decreasing dependence where non-real and multiple eigenvalues are possible. By determining the explicit form of a biorthogonal system, we prove that the system of root (i.e. eigen and associated) functions, with an arbitrary element removed, is a minimal system in L₂(0,1), except for some cases where this system is neither complete nor minimal.
LA - eng
KW - Sturm Liouville problem; minimal system; root functions
UR - http://eudml.org/doc/284284
ER -