Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 53, pp. 1-13.

Title: Oscillation for second order nonlinear differential equations with a sub-linear neutral term
       
Authors: Yingzhu Wu (Guangdong Univ. of Petrochemical Tech., Maoming, China)
         Yuanhong Yu (Chinese Academy of Sciences, Beijing, China)
         Jinsen Xiao (Guangdong Univ. of Petrochemical Tech., Maoming, China)

Abstract:  
We study the oscillatory behavior of solution to the second order nonlinear differential
equations with a sub-linear neutral term
$$
\big(a(t)[(x(t)+p(t)x^{\alpha}(\tau(t)))']^{\gamma}\big)'+q(t)x^{\beta}(\sigma(t))=0,
 \quad t\geq t_0>0.
$$
A new criterion is established that improves related results reported in the literature.
Moreover, some examples are  provided to illustrate the main results.

Submitted March 15, 2022. Published July 19, 2022.
Math Subject Classifications: 34C10, 34K11.
Key Words: Neutral differential equation; sub-linear neutral term; oscillation.