2024
Non-oscillation of linear differential equations with coefficients containing powers of natural logarithm
ŠIŠOLÁKOVÁ, JiřinaBasic information
Original name
Non-oscillation of linear differential equations with coefficients containing powers of natural logarithm
Authors
ŠIŠOLÁKOVÁ, Jiřina (203 Czech Republic, guarantor, belonging to the institution)
Edition
Open Mathematics, De Gruyter, 2024, 2391-5455
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
Poland
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 1.000 in 2023
Organization unit
Faculty of Science
UT WoS
001244305400001
Keywords in English
linear equation; oscillation theory; non-oscillation; Riccati equation; Prufer angle
Tags
Tags
International impact, Reviewed
Changed: 3/3/2025 11:18, Mgr. Jiřina Šišoláková, Ph.D.
Abstract
V originále
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.
Links
| GA20-11846S, research and development project |
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