An Irregular Extension of the Oscillation Theory of the Sturm--Liouville Spectral Problem
Matematičeskie zametki, Tome 82 (2007) no. 4, pp. 578-582
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Oscillation spectral properties (such as the number of zeros, the alternation of zeros for eigenfunctions, the simplicity of the spectrum, etc.) for the Sturm–Liouville problem with generalized coefficients are described.
Mots-clés :
Sturm–Liouville problem
Keywords: oscillation spectral properties, number of zeros, alternation of zeros, Stieltjes differential, differential inequality.
Keywords: oscillation spectral properties, number of zeros, alternation of zeros, Stieltjes differential, differential inequality.
@article{MZM_2007_82_4_a11,
author = {Yu. V. Pokornyi and M. B. Zvereva and A. S. Ishchenko and S. A. Shabrov},
title = {An {Irregular} {Extension} of the {Oscillation} {Theory} of the {Sturm--Liouville} {Spectral} {Problem}},
journal = {Matemati\v{c}eskie zametki},
pages = {578--582},
publisher = {mathdoc},
volume = {82},
number = {4},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_4_a11/}
}
TY - JOUR AU - Yu. V. Pokornyi AU - M. B. Zvereva AU - A. S. Ishchenko AU - S. A. Shabrov TI - An Irregular Extension of the Oscillation Theory of the Sturm--Liouville Spectral Problem JO - Matematičeskie zametki PY - 2007 SP - 578 EP - 582 VL - 82 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2007_82_4_a11/ LA - ru ID - MZM_2007_82_4_a11 ER -
%0 Journal Article %A Yu. V. Pokornyi %A M. B. Zvereva %A A. S. Ishchenko %A S. A. Shabrov %T An Irregular Extension of the Oscillation Theory of the Sturm--Liouville Spectral Problem %J Matematičeskie zametki %D 2007 %P 578-582 %V 82 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2007_82_4_a11/ %G ru %F MZM_2007_82_4_a11
Yu. V. Pokornyi; M. B. Zvereva; A. S. Ishchenko; S. A. Shabrov. An Irregular Extension of the Oscillation Theory of the Sturm--Liouville Spectral Problem. Matematičeskie zametki, Tome 82 (2007) no. 4, pp. 578-582. http://geodesic.mathdoc.fr/item/MZM_2007_82_4_a11/