Oscillation conditions of half-linear delay difference equations of second-

TL;DR

This paper studies the oscillation and asymptotic behavior of a class of second-order half-linear delay difference equations, providing new results under minimal conditions.

Contribution

It introduces a novel approach to determine oscillation using only a single condition, unlike previous methods requiring multiple assumptions.

Findings

Established oscillation criteria with one condition

Analyzed asymptotic properties of solutions

Extended understanding of delay difference equations

Abstract

The goal of our work is to investigate the oscillation and asymptotic properties of a class of difference equations with a condition. In contrast to most previous studies, the oscillation of the investigated equation is obtained with only one condition.