Non-oscillation of linear differential equations with coefficients containing powers of natural logarithm
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F24%3A00139477" target="_blank" >RIV/00216224:14310/24:00139477 - isvavai.cz</a>
Result on the web
<a href="https://www.degruyter.com/document/doi/10.1515/math-2024-0012/html" target="_blank" >https://www.degruyter.com/document/doi/10.1515/math-2024-0012/html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/math-2024-0012" target="_blank" >10.1515/math-2024-0012</a>
Alternative languages
Result language
angličtina
Original language name
Non-oscillation of linear differential equations with coefficients containing powers of natural logarithm
Original language description
We study linear differential equations whose coefficients consist of products of powers of natural logarithm and general continuous functions. We derive conditions that guarantee the non-oscillation of all non-trivial solutions of the treated type of equations. The conditions are formulated as a non-oscillation criterion, which is the counterpart of a previously obtained oscillation theorem. Therefore, from the presented main result, it follows that the analysed equations are conditionally oscillatory. The used method is based on averaging techniques for the combination of the generalized adapted Prufer angle and the modified Riccati transformation. This article is finished by new corollaries and examples.
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
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OECD FORD branch
10101 - Pure mathematics
Result continuities
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)
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
Open Mathematics
ISSN
2391-5455
e-ISSN
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Volume of the periodical
22
Issue of the periodical within the volume
1
Country of publishing house
PL - POLAND
Number of pages
13
Pages from-to
1-13
UT code for WoS article
001244305400001
EID of the result in the Scopus database
2-s2.0-85196165886