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- Title
Periodic solutions of semi-explicit differential-algebraic equations with time-dependent constraints.
- Authors
Bisconti, Luca; Calamai, Alessandro; Spadini, Marco
- 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.
- Subjects
DIFFERENTIAL algebra; ALGEBRAIC equations; CONSTRAINTS (Physics); EXISTENCE theorems; MATHEMATICAL analysis
- Publication
Boundary Value Problems, 2014, Vol 2014, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1186/s13661-014-0179-2