# Iterative oscillation tests for differential equations with several non-monotone arguments

## TL;DR

This paper develops new oscillation criteria for first-order differential equations with multiple non-monotone deviating arguments using iterative Grönwall inequality, supported by illustrative examples.

## Contribution

It introduces novel oscillation conditions involving lim sup and lim inf for equations with several non-monotone arguments, expanding existing theoretical frameworks.

## Key findings

- Established sufficient oscillation conditions involving lim sup and lim inf.
- Applied iterative Grönwall inequality to derive new criteria.
- Provided examples demonstrating the effectiveness of the results.

## Abstract

Sufficient oscillation conditions involving $\limsup $ and $\liminf $ for first-order differential equations with several non-monotone deviating arguments and nonnegative coefficients are obtained. The results are based on the iterative application of the Gr\"{o}nwall inequality. Examples illustrating the significance of the results are also given.