Improved Oscillation Results for Functional Nonlinear Dynamic Equations of Second Order

Abstract

In this paper, the functional dynamic equation of second order is studied on an arbitrary time scale under milder restrictions without the assumed conditions in the recent literature. The Nehari, Hille, and Ohriska type oscillation criteria of the equation are investigated. The presented results confirm that the study of the equation in this formula is superior to other previous studies. Some examples are addressed to demonstrate the finding.

Keywords

• time scales
• functional dynamic equations
• second order
• oscillation criteria