@article{Ereú2023, 
author = {Jurancy Ereú and Luz E. Marchan and Liliana Pérez and Henry Rojas},
title = {Some results on the space of bounded second κ-variation functions},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {9},
pages = {21872-21892},
keywords = {superposition operator, integral equation, bounded second κ-variation, Hammerstein, Hammerstein-Volterra, Volterra existence and uniqueness},
url = {https://www.sciopen.com/article/10.3934/math.20231115},
doi = {10.3934/math.20231115},
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.}
}