Improved Hille Oscillation Criteria for Nonlinear Functional Dynamic Equations of Third-Order

This paper aims to improve Hille oscillation criteria for the third-order functional dynamic equation {p2(ξ)φγ2([p1(ξ)φγ1(y∆(ξ))]∆)}∆ + a(ξ)φγ(y(g(ξ))) = 0, on an above-unbounded time scale T. The obtained results improve related contributions reported in the literature without restrictive conditions on the time scales. To demonstrate the essential results, an example is presented.