@article{Moaaz2025, 
author = {Osama Moaaz and Wedad Albalawi},
title = {Investigation of the impact of delayed damping on the asymptotic behavior of solutions to Emden–Fowler neutral differential equations},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {10},
pages = {24983-24996},
keywords = {differential equations, a delayed damping term, Emden–Fowler equations, neutral equation, asymptotic properties},
url = {https://www.sciopen.com/article/10.3934/math.20251106},
doi = {10.3934/math.20251106},
abstract = {This paper examines the oscillatory behavior of solutions to Emden–Fowler neutral differential equations that incorporate a delayed damping term. To our knowledge, there are no prior results addressing the impact of delayed damping on the oscillatory behavior of neutral equations. We establish a new sufficient criterion to confirm that non-oscillatory solutions exhibit asymptotic behavior. Then, we refine and extend this criterion to include the ordinary case. Applying our results to an Euler-type equation shows that they are an extension and complement to the results reported in the literature.}
}