An Irregular Extension of the Oscillation Theory of the Sturm--Liouville Spectral Problem
Matematičeskie zametki, Tome 82 (2007) no. 4, pp. 578-582.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
@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/

[1] F. Atkinson, Diskretnye i nepreryvnye granichnye zadachi, Mir, M., 1968 | MR | Zbl

[2] B. M. Levitan, Razlozhenie po sobstvennym funktsiyam differentsialnykh uravnenii vtorogo poryadka, Gostekhizdat, M.–L., 1950 | MR