A critical oscillation constant as a variable of time scales for half-linear dynamic equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F10%3A00340554" target="_blank" >RIV/67985840:_____/10:00340554 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14410/10:00057178
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
A critical oscillation constant as a variable of time scales for half-linear dynamic equations
Original language description
We present criteria of Hille-Nehari type for the half-linear dynamic equation (r(t)I broken vertical bar(y (Delta)))(Delta)+p(t)I broken vertical bar(y (sigma) ) = 0 on time scales. As a particular important case we get that there is a a (sharp) criticalconstant which may be different from what is known from the continuous case, and its value depends on the graininess of a time scale and on the coefficient r. As applications we state criteria for strong (non)oscillation, examine generalized Euler typeequations, and establish criteria of Kneser type. Examples from q-calculus, a Hardy type inequality with weights, and further possibilities for study are presented as well. Our results unify and extend many existing results from special cases, and are new even in the well-studied discrete case.
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
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)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
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
60
Issue of the periodical within the volume
2
Country of publishing house
SK - SLOVAKIA
Number of pages
20
Pages from-to
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UT code for WoS article
000274746900009
EID of the result in the Scopus database
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