Discrete spectra criteria for certain classes of singular diffferential and difference operators
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F01%3A00008165" target="_blank" >RIV/00216224:14310/01:00008165 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Discrete spectra criteria for certain classes of singular diffferential and difference operators
Original language 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 continuousones.
Czech name
Discrete spectra criteria for certain classes of singular diffferential and difference operators
Czech 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 continuousones.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2001
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computers & mathematics with applications
ISSN
0097-4943
e-ISSN
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Volume of the periodical
42
Issue of the periodical within the volume
3-5
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
465-476
UT code for WoS article
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EID of the result in the Scopus database
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