Volterra-Choquet nonlinear operators
Classical Analysis and ODEs
2021-03-30 v1
Abstract
In this paper we study to what extend some properties of the classical linear Volterra operators could be transferred to the nonlinear Volterra-Choquet operators, obtained by replacing the classical linear integral with respect to the Lebesgue measure, by the nonlinear Choquet integral with respect to a nonadditive set function. Compactness, Lipschitz and cyclicity properties are studied.
Keywords
Cite
@article{arxiv.2003.00004,
title = {Volterra-Choquet nonlinear operators},
author = {Sorin G. Gal},
journal= {arXiv preprint arXiv:2003.00004},
year = {2021}
}
Comments
17 pages