%0 Journal Article %T Periodic solutions of semi-explicit differential-algebraic equations with time-dependent constraints %A Luca Bisconti %A Alessandro Calamai %A Marco Spadini %J Mathematics %D 2013 %I arXiv %X 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. %U http://arxiv.org/abs/1311.5540v1