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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F01%3A00008165%21RIV08-GA0-14310___
rdf:type
skos:Concept n18:Vysledek
dcterms:description
In this paper we consider singular differential and difference operators of the form <center> m(y) = (-1)<sup>n</sup>/w(t) (r(t)y<sup>(n)</sup>)<sup>(n)</sup> and b(y)<sub>k+n</sub> = (-1)<sup>n</sup>/w<sub>k</sub> \Delta<sup>n</sup> (r<sub>k</sub> \Delta<sup>n</sup> y<sub>k</sub>) , </center> as well as their full-term analogies. We establish criteria for discreteness and boudnedness bellow of their spectrum -- property BD. Difference operators are studied as the discrete counterparts of the continuous ones. In this paper we consider singular differential and difference operators of the form <center> m(y) = (-1)<sup>n</sup>/w(t) (r(t)y<sup>(n)</sup>)<sup>(n)</sup> and b(y)<sub>k+n</sub> = (-1)<sup>n</sup>/w<sub>k</sub> \Delta<sup>n</sup> (r<sub>k</sub> \Delta<sup>n</sup> y<sub>k</sub>) , </center> as well as their full-term analogies. We establish criteria for discreteness and boudnedness bellow of their spectrum -- property BD. Difference operators are studied as the discrete counterparts of the continuous ones. In this paper we consider singular differential and difference operators of the form <center> m(y) = (-1)<sup>n</sup>/w(t) (r(t)y<sup>(n)</sup>)<sup>(n)</sup> and b(y)<sub>k+n</sub> = (-1)<sup>n</sup>/w<sub>k</sub> \Delta<sup>n</sup> (r<sub>k</sub> \Delta<sup>n</sup> y<sub>k</sub>) , </center> as well as their full-term analogies. We establish criteria for discreteness and boudnedness bellow of their spectrum -- property BD. Difference operators are studied as the discrete counterparts of the continuous ones.
dcterms:title
Discrete spectra criteria for certain classes of singular diffferential and difference operators Discrete spectra criteria for certain classes of singular diffferential and difference operators Discrete spectra criteria for certain classes of singular diffferential and difference operators
skos:prefLabel
Discrete spectra criteria for certain classes of singular diffferential and difference operators Discrete spectra criteria for certain classes of singular diffferential and difference operators Discrete spectra criteria for certain classes of singular diffferential and difference operators
skos:notation
RIV/00216224:14310/01:00008165!RIV08-GA0-14310___
n4:strany
465-476
n4:aktivita
n16:P
n4:aktivity
P(GA201/98/0677), P(GA201/99/0295)
n4:cisloPeriodika
3-5
n4:dodaniDat
n14:2008
n4:domaciTvurceVysledku
n11:6860591
n4:druhVysledku
n5:J
n4:duvernostUdaju
n6:S
n4:entitaPredkladatele
n17:predkladatel
n4:idSjednocenehoVysledku
677881
n4:idVysledku
RIV/00216224:14310/01:00008165
n4:jazykVysledku
n13:eng
n4:klicovaSlova
oscillation; property BD; quadratic functional; disconjugacy; Sturm-Liouville equation
n4:klicoveSlovo
n9:disconjugacy n9:oscillation n9:property%20BD n9:Sturm-Liouville%20equation n9:quadratic%20functional
n4:kodStatuVydavatele
US - Spojené státy americké
n4:kontrolniKodProRIV
[54203771EB09]
n4:nazevZdroje
Computers & mathematics with applications
n4:obor
n15:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
1
n4:projekt
n10:GA201%2F98%2F0677 n10:GA201%2F99%2F0295
n4:rokUplatneniVysledku
n14:2001
n4:svazekPeriodika
42
n4:tvurceVysledku
Hilscher, Roman
s:issn
0097-4943
s:numberOfPages
12
n8:organizacniJednotka
14310