@article{Alkilayh2025, 
author = {Maged Alkilayh},
title = {Nonlinear neutral differential equations of second-order: Oscillatory properties},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {1},
pages = {1589-1601},
keywords = {second-order, differential equations, mixed neutral, oscillation conditions},
url = {https://www.sciopen.com/article/10.3934/math.2025073},
doi = {10.3934/math.2025073},
abstract = {This paper investigates the oscillatory behavior of second-order differential equations featuring a mixed neutral term along with a    p-Laplace differential operator. The analysis employs Riccati transformations and includes a comparative study with first-order equations, which facilitates the development of oscillation criteria. The findings culminate in a significant theorem that addresses the oscillation properties of these equations. In addition, two illustrative examples are presented to demonstrate the practical application of the established criteria.}
}