Function sequence technique for half-linear dynamic equations on time scales
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F06%3A00043807" target="_blank" >RIV/67985840:_____/06:00043807 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14410/06:00015320
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Function sequence technique for half-linear dynamic equations on time scales
Original language description
We develop the method involving certain function sequences that, combined with the Riccati technique, provides a new tool for investigation of oscillatory properties of half-linear dynamic equations on time scales. As applications, we give various new oscillation and nonoscillation criteria (e.g., of Hille-Nehari type and of Willett type), and comparison theorems. In addition to the aspect of unification and extension, many of the results turn out to be new in the discrete case and in the linear time scale case; some of the observations are new even in the continuous case. An oscillation criterion which applies when "usual" criteria fail, and four examples illustrating our results are given as well.
Czech name
Technika funkčních posloupností pro pololineární dynamické rovnice na time scales
Czech description
V článku je zavedena tzv. metoda funkčních posloupností, která je založena na zobecněné Riccatiho transformaci. Jako aplikace jsou odvozena kritéria Hille-Nehariho typu a Willettova typu pro pololineární dynamické rovnice na time scales. Výsledky nejen sjednocují a rozšiřují klasické případy time scales, ale jsou nové i v diskrétním případě.
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
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2006
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Panamerican Mathematical Journal
ISSN
1064-9735
e-ISSN
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Volume of the periodical
16
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
26
Pages from-to
31-56
UT code for WoS article
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EID of the result in the Scopus database
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