We study the properties of periodic solutions of a class of periodi- cally perturbed Differential-Algebraic Equations with separated variables. Un- der 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.
Harmonic solutions to a class of differential-algebraic equations with separated variables / Bisconti, Luca. - In: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1072-6691. - ELETTRONICO. - 2012:(2012), pp. 1-15.
Harmonic solutions to a class of differential-algebraic equations with separated variables
BISCONTI, LUCA
2012
Abstract
We study the properties of periodic solutions of a class of periodi- cally perturbed Differential-Algebraic Equations with separated variables. Un- der 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.File | Dimensione | Formato | |
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