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arxiv: 1607.01688 · v1 · pith:QHHVLXMGnew · submitted 2016-07-06 · 🧮 math.CA

On the set of harmonic solutions of a class of perturbed coupled and nonautonomous differential equations on manifolds

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keywords equationssolutionsclasscoupleddifferentialmanifoldsnonautonomousperiodic
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We study the set of $T$-periodic solutions of a class of $T$-periodically perturbed coupled and nonautonomous differential equations on manifolds. By using degree-theoretic methods we obtain a global continuation result for the $T$-periodic solutions of the considered equations.

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