Oscillation of a perturbed nonlinear third order functional differential equation

In this paper, the authors present some new results on the oscillatory and asymptotic behavior of solutions of the perturbed nonlinear third order functional differential equation $$ \left( b(t)\left( a(t)(x^{\prime }(t))^{\alpha }\right) ^{\prime }\right) ^{\prime }+p(t)f(x(\tau (t)))= h(t, x(t), x(\tau(t)), x'(t)). $$ In addition to other conditions, the authors assume that $uf(u) > 0$ for $u \neq 0$ and $f$ is increasing. Examples to illustrate the results are included