Oscillation of second-order quasi-linear neutral functional dynamic equations with distributed deviating arguments

Abstract

In this paper, some sufficient conditions for the oscillation of second-order nonlinear neutral functional dynamic equation \[( r(t) ( [x(t) + p(t)x[\tau (t)]]^\Delta)^\gamma )^\Delta +\int^b_a q(t; \xi)x^\gamma [g(t; \xi)]\Delta\xi= 0; t \in \mathbb{T}\] are established. An example is given to illustrate an application of our results.