%0 Journal Article
%T Harmonic solutions to a class of differential-algebraic equations with separated variables
%A Luca Bisconti
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X We study the properties of periodic solutions of a class of 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.
%K Differential-algebraic equations
%K periodic solutions
%K ordinary differential equations on manifolds
%K degree of a vector field
%U http://ejde.math.txstate.edu/Volumes/2012/02/abstr.html