Second Order Linear Difference Equations and Karamata Sequences

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14410%2F08%3A00057172" target="_blank" >RIV/00216224:14410/08:00057172 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Second Order Linear Difference Equations and Karamata Sequences

Original language description

We establish 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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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F07%2F0145" target="_blank" >GA201/07/0145: Difference equations and dynamic equations on time scales II</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2008

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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

277-288

UT code for WoS article

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EID of the result in the Scopus database

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