Existence Results for Nonlinear Impulsive System with Causal Operators

Abstract

In this paper, we establish sufficient conditions for some existence results for nonlinear impulsive differential equations involving causal operators. Our method is based on the monotone iterative technique, a new differential inequality, and the Schauder fixed point theorem. Moreover, we consider three impulsive differential equations as applications to verify our theoretical results.

Keywords

• causal operators
• impulsive system
• quasi-solutions
• monotone iterative technique