The Steady States of Antitone Electric Systems
Mathematical Physics
2023-05-26 v1 math.MP
Abstract
The steady states of an antitone electric system are described by an antitone function with respect to the componentwise order. When this function is bounded from below by a positive vector, it has only one fixed point. This fixed point is attractive for the fixed point iteration method. In the general case, we find existence and uniqueness results of fixed points using the set of -matrices.
Keywords
Cite
@article{arxiv.2305.16268,
title = {The Steady States of Antitone Electric Systems},
author = {Dan Comănescu},
journal= {arXiv preprint arXiv:2305.16268},
year = {2023}
}