Riccati technique and oscillation of linear second-order difference equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00119358" target="_blank" >RIV/00216224:14310/21:00119358 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00013-021-01649-2" target="_blank" >https://doi.org/10.1007/s00013-021-01649-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00013-021-01649-2" target="_blank" >10.1007/s00013-021-01649-2</a>

Result language
angličtina
Original language name
Riccati technique and oscillation of linear second-order difference equations
Original language description
In this paper, we analyse oscillatory properties of a general class of linear difference equations. Applying the modified Riccati technique, we prove an oscillation criterion for the studied equations and we formulate its consequences. In contrast to many known criteria, in the presented results, there are not considered any auxiliary sequences. The results are based directly on the coefficients of the treated equations, i.e., the obtained results are easy to use. In addition, recently, we have proved a non-oscillatory counterpart of the presented criterion. The combination implies that the studied equations are conditionally oscillatory.
Czech name
—
Czech description
—

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
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)