Oscillatory behavior of n-th-order neutral dynamic equations with mixed nonlinearities on time scales

Abstract

In this article, several new oscillation theorems for n-th-order neutral dynamic equations with mixed nonlinearities are established. Our work extends some known results in the literature on second-order, third-order, and higher-order linear and half-linear dynamic equations. Two examples are provided to illustrate the relevance of the new theorems.

Keywords

• Neutral dynamic equation
• oscillation
• mixed nonlinearities
• generalized Riccati technique