We prove the existence of periodic solutions of some infinite-dimensional systems by the use of the lower/upper solutions method. Both the well-ordered and non-well-ordered cases are treated, thus generalizing to systems some well-established results for scalar equations.
Periodic Solutions of Second-Order Differential Equations in Hilbert Spaces / Fonda, A.; Klun, G.; Sfecci, A.. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - 18:5(2021), pp. 1-26. [10.1007/s00009-021-01857-8]
Periodic Solutions of Second-Order Differential Equations in Hilbert Spaces
Klun, G.;Sfecci, A.
2021-01-01
Abstract
We prove the existence of periodic solutions of some infinite-dimensional systems by the use of the lower/upper solutions method. Both the well-ordered and non-well-ordered cases are treated, thus generalizing to systems some well-established results for scalar equations.File in questo prodotto:
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