Secon Order Linear Difference Equations and Karamata Sequences
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F08%3A00328870" target="_blank" >RIV/67985840:_____/08:00328870 - 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
Secon Order Linear Difference Equations and Karamata Sequences
Original language description
We establisch necessary and sufficient conditions for all positive solutions of a linear second order difference equation to be Karamata sequences, i.e., slowly varying or regularly varying or rapidly varying. Moreover, we discuss relations with the standard classification of nonoscillatory solutions and with the notion of recessive solutions. Our results lead to a complete characterization of positive solutions with respect to their regularly or rapidly varying behavior.
Czech name
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Czech description
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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/KJB100190701" target="_blank" >KJB100190701: Asymptotics, oscillation, and quadratic functionals in theory of dynamic equations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Difference Equations
ISSN
0973-6069
e-ISSN
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Volume of the periodical
3
Issue of the periodical within the volume
2
Country of publishing house
IN - INDIA
Number of pages
12
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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