# On different types of stability for linear delay dynamic equations

## TL;DR

This paper establishes explicit criteria for various stability types in linear delay dynamic equations with a single delay, applicable to nonstandard time scales, enhancing understanding of stability conditions in such systems.

## Contribution

It provides new explicit stability conditions for linear delay dynamic equations on nonstandard time scales, broadening the theoretical framework.

## Key findings

- Conditions for uniform stability derived
- Criteria for global asymptotic stability established
- Exponential stability conditions formulated

## Abstract

We provide explicit conditions for uniform stability, global asymptotic stability and uniform exponential stability for dynamic equations with a single delay and a nonnegative coefficient. Some examples on nonstandard time scales are also given to show applicability and sharpness of the new results.