Periodic solutions of differential equations with periodic constraints
Copyright policy )Periodic solutions of differential equations with periodic constraints
We study the harmonic solutions of periodically perturbed differential equations subjected to a possibly time‐dependent constraint. We obtain a degree theoretic condition ensuring a “global branching” result for the nontrivial periodic solutions. The argument stems from a combination of techniques from the theory of topological degree and differential‐algebraic equations. As an application, the set of harmonic solutions of periodically perturbed implicit differential equations is investigated.
- University of Florence Italy
Periodic solutions; Differential Algebraic Equations; Topological Degree; Implicit Differential Equations, implicit differential equations, differential algebraic equations, periodic solutions, Nonlinear ordinary differential equations and systems, Periodic solutions to ordinary differential equations, topological degree, Implicit ordinary differential equations, differential-algebraic equations
Periodic solutions; Differential Algebraic Equations; Topological Degree; Implicit Differential Equations, implicit differential equations, differential algebraic equations, periodic solutions, Nonlinear ordinary differential equations and systems, Periodic solutions to ordinary differential equations, topological degree, Implicit ordinary differential equations, differential-algebraic equations
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