Comparison theorems for oscillation and non-oscillation of perturbed Euler type equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00144606" target="_blank" >RIV/00216224:14310/25:00144606 - isvavai.cz</a>
Result on the web
<a href="https://www.opuscula.agh.edu.pl/om-vol45iss6art4" target="_blank" >https://www.opuscula.agh.edu.pl/om-vol45iss6art4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.7494/OpMath.2025.45.6.785" target="_blank" >10.7494/OpMath.2025.45.6.785</a>

Result language
angličtina
Original language name
Comparison theorems for oscillation and non-oscillation of perturbed Euler type equations
Original language description
The aim of this paper is to present two comparison theorems. These results enable to describe the oscillation behavior of second order Euler type half-linear differential equations with perturbations in both terms using previously obtained oscillation and non-oscillation criteria. We point out that the comparison theorems are easy to use. This fact is also illustrated by a simple example. In addition, the number of perturbations is arbitrary and the last perturbations can be given by very general continuous functions. Note that the presented results are new even in the case of linear equations.
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
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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