# Strong solutions for jump-type stochastic differential equations with non-Lipschitz coefficients

## TL;DR

This paper establishes conditions for the existence and uniqueness of strong solutions to jump-type stochastic differential equations with non-Lipschitz coefficients, and explores their non-confluent properties.

## Contribution

It provides new sufficient conditions for strong solutions and non-confluence in jump SDEs with non-Lipschitz coefficients, supported by illustrative examples.

## Key findings

- Existence and uniqueness of strong solutions under non-Lipschitz conditions
- A sufficient condition for non-confluent solutions
- Examples demonstrating the theoretical results

## Abstract

In this paper, the existence and pathwise uniqueness of strong solutions for jump-type stochastic differential equations are investigated under non-Lipschitz conditions. A sufficient condition is obtained for ensuring the non-confluent property of strong solutions of jump-type stochastic differential equations. Moreover, some examples are given to illustrate our results.