@article{Temtek2025, 
author = {Pakize Temtek},
title = {Second order neutral multi-delay differential equations and its oscillatory criteria derived by linearization},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {10},
pages = {24971-24982},
keywords = {second-order neutral multi-delay differential equations, asymptotic properties, linearization, oscillation theory},
url = {https://www.sciopen.com/article/10.3934/math.20251105},
doi = {10.3934/math.20251105},
abstract = {In this paper, we investigate the oscillatory behavior of second-order neutral multi-delay differential equations               (              r                  (                      t                    )                                      [                                          (                                  u                                      (                                          t                                        )                                    +                                      ∑                                          i                      =                      1                                        n                                                        b                    i                                    (                  t                  )                  u                  (                                      ψ                    i                                    (                  t                  )                  )                                )                            ′                        ]                                α                              )        ′    +  Q      (                  t            ,      u              (                  τ                      (                          t                        )                          )              )    =  0.We introduce new monotonic properties of the non-oscillatory solutions of the equation, which are then used to linearize the equation and derive new oscillatory criteria. Our results are further supported by a numerical simulation example.}
}