Some results on the space of bounded second κ-variation functions

Abstract:

In this paper, we prove that if a globally Lipschitz non-autonomous superposition operator maps the space of functions of bounded second κ-variation into itself then its generator function satisfies a Matkowski condition. We also provide conditions for the existence and uniqueness of solutions of the Hammerstein and Volterra equations in this space.

Año de publicación:

2023

Keywords:

• bounded second κ-variation
• Hammerstein
• Hammerstein-Volterra
• Integral equation
• Superposition operator
• Volterra existence and uniqueness

Fuente:

scopus