Periodic solutions of semi-explicit differential-algebraic equations with time-dependent constraints

2013/11/21 by Luca Bisconti, Alessandro Calamai, Bisconti, Luca +3
Computer Science · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Matrix Theory and Algorithms #Numerical methods for differential equations #Quantum chaos and dynamical systems #math.CA

paper · pdf · doi:10.48550/arxiv.1311.5540

arxiv created 2013/11/21 · openalex publication_date 2013/11/21 · arxiv updated 2013/11/22 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

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 about differential equations on implicitly defined manifolds, combined with elementary facts of matrix analysis.

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