@article{Alofee2025, 
author = {Adeebah Alofee and Ahmed S. Almohaimeed and Osama Moaaz},
title = {New iterative criteria for testing the oscillation of solutions of differential equations with distributed deviating arguments},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {6},
pages = {3496-3516},
keywords = {differential equation, second-order equations, neutral argument, oscillatory behavior, equations with distributed deviating arguments},
url = {https://www.sciopen.com/article/10.3934/era.2025155},
doi = {10.3934/era.2025155},
abstract = {The objective of this work was to provide sufficient conditions for testing the oscillatory performance of solutions of the neutral second-order differential equation with distributed deviation arguments. We derived improved relations that influence the oscillation parameters of the equation under study. We used comparison with lower-order equations and Riccati techniques to derive the oscillation parameters. Comparing our findings with earlier pertinent findings allows us to assess the advancements made in oscillation theory. Furthermore, some numerical solutions for a special case of the equation under study are presented, and the numerical and theoretical results are compared.}
}