Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F24%3A00139496" target="_blank" >RIV/00216224:14310/24:00139496 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s40840-024-01745-w" target="_blank" >https://link.springer.com/article/10.1007/s40840-024-01745-w</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s40840-024-01745-w" target="_blank" >10.1007/s40840-024-01745-w</a>

Result language
angličtina
Original language name
Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations
Original language description
In this paper, we study a general class of half-linear difference equations. Applying a version of the discrete Riccati transformation, we prove a non-oscillation criterion for the analyzed equations. In the formulation of the criterion, we do not use auxiliary sequences, but we consider directly the coefficients of the treated equations. Since the obtained criterion is new in many cases, we also formulate new simple corollaries and mention illustrative examples.
Czech name
—
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
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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