@article{Wu2025, 
author = {Yingzhu Wu and Shizheng Li and Jinsen Xiao and Yuanhong Yu},
title = {Leighton-Hille-Kneser-type oscillation criteria for Emden-Fowler neutral delay differential equations},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {12},
pages = {29873-29891},
keywords = {Emden-Fowler differential equation, neutral differential equation, delayed argument, second-order, Riccati method, Leighton-Hille-Kneser-type oscillation criteria},
url = {https://www.sciopen.com/article/10.3934/math.20251312},
doi = {10.3934/math.20251312},
abstract = {Emden-Fowler differential equations have numerous applications in physics and engineering. In this article, we extended the classical Leighton, Hille, and Kneser types oscillation criteria for second-order linear differential equations to the second-order Emden-Fowler neutral delay differential equation               (              r        (        t        )                              |                                          z                ′                            (              t              )                        |                                α            −            1                                    z          ′                (        t        )            )        ′    +  q  (  t  )            |              y        (        σ        (        t        )        )            |              β            sgn    y  (  σ  (  t  )  )  =  0  ,      t  ≥      t          0        ,where    z  (  t  )  =  y  (  t  )  +  p  (  t  )  y  (  τ  (  t  )  )  . The criteria obtained extended and improved some well-known results reported in the literature. Moreover, several examples are provided to show the significance of the new findings.}
}