On a class of differential-algebraic equations with infinite delay | Zendy

Luca Bisconti | Zendy; Marco Spadini | Zendy

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On a class of differential-algebraic equations with infinite delay

Author(s) -

Luca Bisconti,

Marco Spadini

Publication year - 2011

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2011.1.81

Subject(s) - mathematics , class (philosophy) , algebraic number , differential (mechanical device) , pure mathematics , algebra over a field , mathematical analysis , computer science , artificial intelligence , engineering , aerospace engineering

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.

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