Harmonic perturbations with delay of periodic separated variables differential equations
DOI:
https://doi.org/10.12775/TMNA.2015.046Keywords
Delay differential equations, periodic solutions, differential equations on manifolds, translation operator, differential-algebraic equationsAbstract
We study the structure of the set of harmonic solutions to perturbed, nonautonomous, $T$-periodic, separated variables ODEs on manifolds. The perturbing term, supposed to be $T$-periodic in time, is allowed to contain a finite delay. Our main result extends those of \cite{FS09} and \cite{spaSepVar} but it cannot be simply deduced from them: It emerges from of a combination of the techniques exposed in those two papers.Downloads
Published
2015-09-01
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BISCONTI, Luca and SPADINI, Marco. Harmonic perturbations with delay of periodic separated variables differential equations. Topological Methods in Nonlinear Analysis. Online. 1 September 2015. Vol. 46, no. 1, pp. 261 - 281. [Accessed 25 April 2024]. DOI 10.12775/TMNA.2015.046.
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