Oscillation of linear and half-linear difference equations via modified Riccati transformation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00134178" target="_blank" >RIV/00216224:14310/23:00134178 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jmaa.2023.127526" target="_blank" >https://doi.org/10.1016/j.jmaa.2023.127526</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2023.127526" target="_blank" >10.1016/j.jmaa.2023.127526</a>

Result language
angličtina
Original language name
Oscillation of linear and half-linear difference equations via modified Riccati transformation
Original language description
In this paper, we introduce a new oscillation criterion for Euler type half-linear difference equations with positive coefficients which are asymptotically periodic and bounded, respectively. As the mean of proving the criterion, the generalized adapted Riccati transformation is used. The presented main result is the oscillatory counterpart of a previously obtained non-oscillation criterion for the treated equations. Therefore, the result shows that the analyzed equations are conditionally oscillatory. Then we emphasize the novelty of the result in the linear case by several consequences.
Czech name
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Czech description
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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

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)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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