A Chebyshev criterion with applications

Armengol Gasull, Anna Geyer, Francesc Mañosas Capellades

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Resum

We show that a family of certain definite integrals forms a Chebyshev system if two families of associated functions appearing in their integrands are Chebyshev systems as well. We apply this criterion to several examples which appear in the context of perturbations of periodic non-autonomous ODEs to determine bounds on the number of isolated periodic solutions, as well as to persistence problems of periodic solutions for perturbed Hamiltonian systems.
Idioma originalAnglès
Pàgines (de-a)6641-6655
Nombre de pàgines15
RevistaJournal of Differential Equations
Volum269
Número9
DOIs
Estat de la publicacióPublicada - 2020

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