On the basis property of the root functions of differential operators with matrix coefficients
Open Mathematics (2011)
- Volume: 9, Issue: 3, page 657-672
- ISSN: 2391-5455
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topOktay Veliev. "On the basis property of the root functions of differential operators with matrix coefficients." Open Mathematics 9.3 (2011): 657-672. <http://eudml.org/doc/269755>.
@article{OktayVeliev2011,
abstract = {We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and periodic or antiperiodic boundary conditions. Then using these asymptotic formulas, we find necessary and sufficient conditions on the coefficients for which the system of eigenfunctions and associated functions of the operator under consideration forms a Riesz basis.},
author = {Oktay Veliev},
journal = {Open Mathematics},
keywords = {Differential operators; Eigenfunction expansion; differential operators; eigenfunction expansion; Sturm-Liouville operator; root functions; Riesz basis},
language = {eng},
number = {3},
pages = {657-672},
title = {On the basis property of the root functions of differential operators with matrix coefficients},
url = {http://eudml.org/doc/269755},
volume = {9},
year = {2011},
}
TY - JOUR
AU - Oktay Veliev
TI - On the basis property of the root functions of differential operators with matrix coefficients
JO - Open Mathematics
PY - 2011
VL - 9
IS - 3
SP - 657
EP - 672
AB - We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and periodic or antiperiodic boundary conditions. Then using these asymptotic formulas, we find necessary and sufficient conditions on the coefficients for which the system of eigenfunctions and associated functions of the operator under consideration forms a Riesz basis.
LA - eng
KW - Differential operators; Eigenfunction expansion; differential operators; eigenfunction expansion; Sturm-Liouville operator; root functions; Riesz basis
UR - http://eudml.org/doc/269755
ER -
References
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