Amended criteria of oscillation for nonlinear functional dynamic equations of second-order

Abstract

In this paper, the sharp Hille-type oscillation criteria are proposed for a class of secondorder nonlinear functional dynamic equations on an arbitrary time scale, by using the technique of Riccati transformation and integral averaging method. The obtained results demonstrate an improvement in Hille-type compared with the results reported in the literature. Some examples are provided to illustrate the significance of the obtained results. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.