Oscillation of half-linear second-order difference equations via the adapted Riccati transformation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00144573" target="_blank" >RIV/00216224:14310/25:00144573 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S000744972500137X" target="_blank" >https://www.sciencedirect.com/science/article/pii/S000744972500137X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.bulsci.2025.103711" target="_blank" >10.1016/j.bulsci.2025.103711</a>

Result language
angličtina
Original language name
Oscillation of half-linear second-order difference equations via the adapted Riccati transformation
Original language description
Applying the adapted Riccati technique, we generalize a known oscillation criterion about linear difference equations to the corresponding half-linear version. The criterion covers general classes of difference equations with coefficients which can change sign. This fact gives the novelty of our result, because previously known strongly relevant criteria for the treated half-linear equations are not applicable for such equations. At the same time, the presented criterion does not use any auxiliary sequences which is its undeniable advantage.
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
—
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
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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