Peculiarities in power type comparison results for half-linear dynamic equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14410%2F12%3A00058566" target="_blank" >RIV/00216224:14410/12:00058566 - isvavai.cz</a>
Alternative codes found
RIV/67985840:_____/12:00389740
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Peculiarities in power type comparison results for half-linear dynamic equations
Original language description
We look for conditions guaranteeing that oscillatory properties of a half-linear dynamic equation are preserved when the power in the nonlinearities is changed. In particular, we discuss discrepancies (which indeed occur) between the results on differenttime scales. We provide an example showing an optimality of one of the assumptions. We also present one generalization of a standard Sturm-Picone type comparison theorem and give an important note on the smoothness condition for the coefficient in the leading term which concerns general theory of second order dynamic equations. Many of our observations are new also in the differential and difference equations cases.
Czech name
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Czech description
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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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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)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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