Riccati transformation and non-oscillation criterion for linear difference equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F20%3A00114064" target="_blank" >RIV/00216224:14310/20:00114064 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1090/proc/15072" target="_blank" >https://doi.org/10.1090/proc/15072</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/proc/15072" target="_blank" >10.1090/proc/15072</a>

Result language
angličtina
Original language name
Riccati transformation and non-oscillation criterion for linear difference equations
Original language description
We consider a general class of linear difference equations. Using a variation of the discrete Riccati method, we obtain a straightforward non-oscillation criterion for the treated equations. In contrast to a number of known criteria, we do not need to consider any auxiliary sequences. We use the coefficients of the treated equations directly. To illustrate the novelty and the usage of the presented criterion, we provide corollaries and 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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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