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 as regards differential equations on implicitly defined manifolds, combined with elementary facts of matrix analysis.
Periodic solutions of semi-explicit differential-algebraic equations with time-dependent constraints / Luca Bisconti;Alessandro Calamai;Marco Spadini. - In: BOUNDARY VALUE PROBLEMS. - ISSN 1687-2770. - ELETTRONICO. - 2014:(2014), pp. 1-19. [10.1186/s13661-014-0179-2]
Periodic solutions of semi-explicit differential-algebraic equations with time-dependent constraints
BISCONTI, LUCA;SPADINI, MARCO
2014
Abstract
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 as regards differential equations on implicitly defined manifolds, combined with elementary facts of matrix analysis.File | Dimensione | Formato | |
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BiscontiCalamaiSpadini_BVP-PeriodicSolutionsOfSemi-ExplicitDifferential-AlgebraicEquationsWithTime-DependentConstraints.pdf
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