Oscillation result for half-linear dynamic equations on timescales and its consequences
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62156489%3A43410%2F19%3A43915126" target="_blank" >RIV/62156489:43410/19:43915126 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14310/19:00107220
Result on the web
<a href="https://doi.org/10.1002/mma.5485" target="_blank" >https://doi.org/10.1002/mma.5485</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mma.5485" target="_blank" >10.1002/mma.5485</a>
Alternative languages
Result language
angličtina
Original language name
Oscillation result for half-linear dynamic equations on timescales and its consequences
Original language description
We study oscillatory properties of half-linear dynamic equations on timescales. Via the combination of the Riccati technique and an averaging method, we find the domain of oscillation for many equations. The presented main result is not the conversion of a known result from the theory of differential or difference equations, ie, we obtain new results for the timescales T = R (for differential equations) and T = Z (for difference equations). Half-linear equations generalize linear equations (in fact, they coincide with certain one-dimensional PDEs with p-Laplacian), but the main result is new also for linear differential and difference equations. The corresponding corollaries and examples are given as well.
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
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA17-03224S" target="_blank" >GA17-03224S: Asymptotic theory of ordinary and fractional differential equations and their numerical discretizations</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
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
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Volume of the periodical
42
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
20
Pages from-to
1921-1940
UT code for WoS article
000463380900015
EID of the result in the Scopus database
2-s2.0-85060197770