Harmonic solutions to a class of differential-algebraic equations with separated variables
Classical Analysis and ODEs
2011-12-23 v2 Dynamical Systems
Abstract
We study the set of T-periodic solutions of a class of T-periodically perturbed Differential-Algebraic Equations with separated variables. Under suitable hypotheses, these equations are equivalent to separated variables ODEs on a manifold. By combining known results on Differential-Algebraic Equations, with an argument about ODEs on manifolds, we obtain a global continuation result for the T-periodic solutions to the considered equations. As an application of our method, a multiplicity result is provided.
Cite
@article{arxiv.1110.1833,
title = {Harmonic solutions to a class of differential-algebraic equations with separated variables},
author = {Luca Bisconti},
journal= {arXiv preprint arXiv:1110.1833},
year = {2011}
}