Oscillation criterion for generalized Euler difference equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F24%3A00137837" target="_blank" >RIV/00216224:14310/24:00137837 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10474-024-01460-9" target="_blank" >https://link.springer.com/article/10.1007/s10474-024-01460-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10474-024-01460-9" target="_blank" >10.1007/s10474-024-01460-9</a>
Alternative languages
Result language
angličtina
Original language name
Oscillation criterion for generalized Euler difference equations
Original language description
Using a modification of the adapted Riccati transformation, we prove an oscillation criterion for generalizations of linear and half-linear Euler difference equations. Our main result complements a large number of previously known oscillation criteria about several similar generalizations of Euler difference equations. The major part of this paper is formed by the proof of the main theorem. To illustrate the fact that the presented criterion is new even for linear equations with periodic coefficients, we finish this paper with the corresponding corollary together with concrete examples of simple equations whose oscillatory properties do not follow from previously known criteria.
Czech name
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Czech description
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Classification
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
Result continuities
Project
<a href="/en/project/GA23-05242S" target="_blank" >GA23-05242S: Oscillation theory on hybrid time domains with applications in spectral theory and matrix analysis</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Acta Mathematica Hungarica
ISSN
0236-5294
e-ISSN
1588-2632
Volume of the periodical
174
Issue of the periodical within the volume
1
Country of publishing house
HU - HUNGARY
Number of pages
22
Pages from-to
94-115
UT code for WoS article
001306551000001
EID of the result in the Scopus database
2-s2.0-85203293342