Nonoscillation of 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%2F00216224%3A14310%2F21%3A00119173" target="_blank" >RIV/00216224:14310/21:00119173 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/mma.7304" target="_blank" >https://doi.org/10.1002/mma.7304</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mma.7304" target="_blank" >10.1002/mma.7304</a>
Alternative languages
Result language
angličtina
Original language name
Nonoscillation of half-linear dynamic equations on time scales
Original language description
The research contained in this paper belongs to the qualitative theory of dynamic equations on time scales. Via the detailed analysis of solutions of the associated Riccati equation and an advanced averaging technique, we provide the description of domain of nonoscillation of very general equations. The results are formulated and proved for half-linear equations (i.e., equations connected to PDEs with one dimensional p-Laplacian) on time scales. Nevertheless, we obtain new results also for linear difference equations. Moreover, the combination of the presented results with previous ones shows that many useful equations are conditionally oscillatory. Such equations are ideal as testing and comparison equations in real-world models which are beyond capabilities of known oscillation and nonoscillation criteria often.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA20-11846S" target="_blank" >GA20-11846S: Differential and difference equations of real orders: Qualitative analysis and its applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Methods in the Applied Sciences
ISSN
0170-4214
e-ISSN
1099-1476
Volume of the periodical
44
Issue of the periodical within the volume
11
Country of publishing house
US - UNITED STATES
Number of pages
23
Pages from-to
8775-8797
UT code for WoS article
000627606600001
EID of the result in the Scopus database
2-s2.0-85102237172