Oscillation results for third-order quasi-linear Emden-Fowler differential equations with unbounded neutral coefficients

Abstract

Some new oscillation criteria are obtained for a class of third-order quasi-linear Emden-Fowler differential equations with unbounded neutral coefficients of the form

(a(t)(z^{′′α})^{′λ}(g(t))=0,

where z(t)=y(t)+p(t)y(σ(t)) and α, λ are ratios of odd positive integers. The established results generalize, improve and complement to known results.