Periodic solutions of semi-explicit differential-algebraic equations with time-dependent constraints
Classical Analysis and ODEs
2013-11-22 v1
Abstract
In this paper we investigate the properties of the set of T-periodic solutions of semi-explicit parametrized Differential-Algebraic Equations with non-autonomous constraints of a particular type. We provide simple, degree theoretic conditions for the existence of branches of T-periodic solutions of the considered equations. Our approach is based on topological arguments about differential equations on implicitly defined manifolds, combined with elementary facts of matrix analysis.
Keywords
Cite
@article{arxiv.1311.5540,
title = {Periodic solutions of semi-explicit differential-algebraic equations with time-dependent constraints},
author = {Luca Bisconti and Alessandro Calamai and Marco Spadini},
journal= {arXiv preprint arXiv:1311.5540},
year = {2013}
}