THERMAL SCIENCE

International Scientific Journal

Xi Liu

,

Jun Liu

,

Hongying Luo

,

Jinmei Liu

,

Mingdong Yang

OSCILLATION OF SECOND ORDER NON-LINEAR DIFFERENTIAL EQUATIONS WITH A DAMPING TERM

ABSTRACT
The objective of this paper is to present novel sufficient conditions for the oscillation of all solutions of a class of second-order non-linear differential equations with a damping term. Our oscillation criteria represent an improvement, extension, simplification, and unification of a number of existing ones. The advantages of the obtained results are illustrated by an example.
KEYWORDS
oscillation criteria, differential equation, Riccati transformation
PAPER SUBMITTED: 2023-10-17
PAPER REVISED: 2024-06-07
PAPER ACCEPTED: 2024-06-07
PUBLISHED ONLINE: 2025-07-06
DOI REFERENCE: https://doi.org/10.2298/TSCI2503839L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE Issue 3, PAGES [1839 - 1848]
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Oscillation of second order non-linear differential equations with a damping term

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence