Existence of solution sets for Φ-Laplacian for random impulsive differential equations

Abstract

In this article, we provide results on the existence and compactness of the set of solutions for a class of initial-value problem representing a first-order random impulsive differential equation. The key tool to achieve our goal is based on an alternative nonlinear Leary-Schauder type theorem in the settings of generalized Banach spaces.

Keywords

• Iterative methods
• Differential equations
• Random Φ-Laplacian differential equation
• Random operator
• Generalized Banach space
• Compactness