Harmonic Solutions to a Class of Differential- Algebraic Equations with Separated Variables
نویسنده
چکیده
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.
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