Semilinear Neutral Differential Equations with Impulses and Nonlocal Conditions

Abstract:

This paper is concerned with the existence and uniqueness of solutions for a semilinear neutral differential equation with impulses and nonlocal conditions. We assume that the nonlinear terms are globally Lipschitz, which allows us to prove the existence and uniqueness of solutions via Banach fixed-point theorem. Finally, we present an example as an application of our method.

Año de publicación:

2025

Keywords:

• Banach fixed-point theorem
• DELAY
• impulses
• Nonlocal conditions
• Semilinear neutral differential equations

Fuente:

scopus