Asymptotics and oscillation for certain higher-order nonlinear dynamic equations on time scales

Abstract

In a recent paper, Hassan and O’Regan (Rocky Mt J Math 50:599–617, 2020) studied the oscillatory behavior of solutions for some higher-order nonlinear dynamic equations on time scales. In this paper, we investigate an open problem (Hassan and O’Regan in Rocky Mt J Math 50:599–617, 2020) and completely solve it by using the generalized Riccati approach and integral averaging technique. Our findings constitute an addendum to the above paper.