Spectral properties of general self-adjoint, even order differential operators
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F00%3A00008154" target="_blank" >RIV/00216224:14310/00:00008154 - 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
Spectral properties of general self-adjoint, even order differential operators
Original language description
Necessary and sufficient condition for discreteness and boundedness below of the spectrum of the full-term singular differential operator <p> <center> l(y)=1/w(t) sum<sub>k=0</sub><sup>n</sup> [ p<sub>k</sub>(t) y<sup>(k)</sup> ]<sup>(k)</sup> on [a,infty), </center> </p> <p> is established. This condition is based on a recently proved generalized reciprocity principle for l and on the relationship between spectral properties of l and oscillation of a certain associated (2n-2)-order differential equation. An application to ''Euler-type'' fourth order operator is given.</p>
Czech name
Spectral properties of general self-adjoint, even order differential operators
Czech description
Necessary and sufficient condition for discreteness and boundedness below of the spectrum of the full-term singular differential operator <p> <center> l(y)=1/w(t) sum<sub>k=0</sub><sup>n</sup> [ p<sub>k</sub>(t) y<sup>(k)</sup> ]<sup>(k)</sup> on [a,infty), </center> </p> <p> is established. This condition is based on a recently proved generalized reciprocity principle for l and on the relationship between spectral properties of l and oscillation of a certain associated (2n-2)-order differential equation. An application to ''Euler-type'' fourth order operator is given.</p>
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
<a href="/en/project/GA201%2F96%2F0410" target="_blank" >GA201/96/0410: Differential and functional - differential equations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2000
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematica Slovaca
ISSN
0139-9918
e-ISSN
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Volume of the periodical
50
Issue of the periodical within the volume
2
Country of publishing house
SK - SLOVAKIA
Number of pages
21
Pages from-to
165-186
UT code for WoS article
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EID of the result in the Scopus database
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