Oscillation of nonlinear third-order differential equations with several sublinear neutral terms

A class of third order differential equations with several sublinear neutral terms of the type ( a ( t ) ( b ( t ) ( x ( t ) + ∑ j = 1 n p j ( t ) x α j ( τ j ( t ) ) ) ′ ) ′ ) ′ + ∑ i = 1 m f i ( t , x ( σ i ( t ) ) ) = 0 , t ≥ t 0 > 0 $$\begin{array}{} \displaystyle \bigg( a(t)\Big( b(t)\Big(x(t)+\sum\limits_{j=1}^{n}p_{j}(t)x^{\alpha _{j}}(\tau _{j}(t))\Big)'\Big)'\bigg)' +\sum\limits_{i=1}^{m}f_{i}(t,x(\sigma _{i}(t)))=0,\qquad t\geq t_{0} \gt 0 \end{array}$$ is considered. Some oscillation criteria are presented to improve and complement those in the literature. Two examples are established to illustrate the main results.