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  • 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. (en)
  • 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. (cs)
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 (en)
  • Discrete spectra criteria for certain classes of singular diffferential and difference operators (cs)
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 (en)
  • Discrete spectra criteria for certain classes of singular diffferential and difference operators (cs)
skos:notation
  • RIV/00216224:14310/01:00008165!RIV08-GA0-14310___
http://linked.open.../vavai/riv/strany
  • 465-476
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/98/0677), P(GA201/99/0295)
http://linked.open...iv/cisloPeriodika
  • 3-5
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 677881
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/01:00008165
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • oscillation; property BD; quadratic functional; disconjugacy; Sturm-Liouville equation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [54203771EB09]
http://linked.open...i/riv/nazevZdroje
  • Computers & mathematics with applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 42
http://linked.open...iv/tvurceVysledku
  • Hilscher, Roman
issn
  • 0097-4943
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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