Riesz basis property of the~system of eigenfunctions for a~non-linear problem of Sturm--Liouville type
Sbornik. Mathematics, Tome 191 (2000) no. 3, pp. 359-368
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For a non-linear eigenvalue problem similar to a linear Sturm–Liouville problem the properties of the spectrum and the eigenfunctions are analysed. The system of eigenfunctions is shown to be a Riesz basis in $L_2$.
@article{SM_2000_191_3_a3,
author = {P. E. Zhidkov},
title = {Riesz basis property of the~system of eigenfunctions for a~non-linear problem of {Sturm--Liouville} type},
journal = {Sbornik. Mathematics},
pages = {359--368},
publisher = {mathdoc},
volume = {191},
number = {3},
year = {2000},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2000_191_3_a3/}
}
TY - JOUR AU - P. E. Zhidkov TI - Riesz basis property of the~system of eigenfunctions for a~non-linear problem of Sturm--Liouville type JO - Sbornik. Mathematics PY - 2000 SP - 359 EP - 368 VL - 191 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_2000_191_3_a3/ LA - en ID - SM_2000_191_3_a3 ER -
P. E. Zhidkov. Riesz basis property of the~system of eigenfunctions for a~non-linear problem of Sturm--Liouville type. Sbornik. Mathematics, Tome 191 (2000) no. 3, pp. 359-368. http://geodesic.mathdoc.fr/item/SM_2000_191_3_a3/