On a class of differential-algebraic equations with infinite delay
Abstract
We study the set of -periodic solutions of a class of -periodically perturbed Differential-Algebraic Equations, allowing the perturbation to contain a distributed and possibly infinite delay. Under suitable assumptions, the perturbed equations are equivalent to Retarded Functional (Ordinary) Differential Equations on a manifold. Our study is based on known results about the latter class of equations.
Cite
@article{arxiv.1104.0141,
title = {On a class of differential-algebraic equations with infinite delay},
author = {Luca Bisconti and Marco Spadini},
journal= {arXiv preprint arXiv:1104.0141},
year = {2012}
}
Comments
13 pages. Revision: Incorporate changes suggested by readers. Corrected a few typos across the paper, definition of BU added, revised the (previously incorrect) definition of solution of RFDAE, made slight changes in the Introduction. Replacement of Dec. 6, 2012: introduced further changes suggested by referee, bundled addendum/erratum containing a corrected version of Lemma 5.5 and Corollary 5.7