J 2024

Non-oscillation of linear differential equations with coefficients containing powers of natural logarithm

ŠIŠOLÁKOVÁ, Jiřina

Basic 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
Name: Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace
Investor: Czech Science Foundation