Oscillation for second order nonlinear differential equations with a sub-linear neutral term

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.