Oscillation of linear and half-linear differential equations via generalized Riccati technique

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00129034" target="_blank" >RIV/00216224:14310/22:00129034 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s13163-021-00407" target="_blank" >https://link.springer.com/article/10.1007/s13163-021-00407</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13163-021-00407-w" target="_blank" >10.1007/s13163-021-00407-w</a>

Result language
angličtina
Original language name
Oscillation of linear and half-linear differential equations via generalized Riccati technique
Original language description
In this paper, we analyse the oscillation of second-order half-linear differential equations whose coefficients are given by the products of (typically bounded) functions and power functions. Applying the generalized Riccati technique, we find a very general oscillation criterion for the studied equations. This criterion covers several half-linear equations with unbounded non-power parts of coefficients, but it is new also for linear equations with bounded non-power parts. This fact is appropriately documented by new corollaries.
Czech name
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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
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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