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arXiv:1104.0141 [math.CA]AbstractReferencesReviewsResources

On a class of differential-algebraic equations with infinite delay

Luca Bisconti, Marco Spadini

Published 2011-04-01, updated 2012-12-06Version 3

We study the set of $T$-periodic solutions of a class of $T$-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.

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
Journal: Electronic Journal Qualitative Theory of Differential Equations 2011, No. 8
Categories: math.CA, math.DS
Subjects: 34A09, 34K13, 34C40
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