Periodic solutions of second-order differential equations in Hilbert spaces

A Fonda, G Klun, A Sfecci - Mediterranean Journal of Mathematics, 2021 - Springer
Periodic Solutions of Second-Order Differential Equations in Hilbert Spaces | Mediterranean
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[PDF][PDF] An infinite-dimensional version of the Poincaré-Birkhoff theorem on the Hilbert cube

A Boscaggin, A Fonda, M Garrione - Annali della Scuola Normale …, 2020 - iris.unito.it
We propose a version of the Poincaré–Birkhoff theorem for infinite-dimensional Hamiltonian
systems, which extends a recent result by Fonda and Ureña [20]. The twist condition …

Periodic solutions of Hamiltonian systems with symmetries

A Fonda - Topological Methods for Delay and Ordinary …, 2024 - Springer
After a brief historical account, starting with the celebrated Poincaré–Birkhoff Theorem, we
provide a multiplicity result for periodic solutions of some Hamiltonian systems whose …

On a Certain Generalization of the Krasnosel'skii Theorem

M Galewski - Journal of Applied Analysis, 2003 - degruyter.com
We provide a generalization of a well known Krasnosel'skii theorem on continuity of the
Nemytskii operator for functions taking values in separable Banach spaces. We follow the …

Topological methods for the search of solutions of nonlinear equations. From planar systems to ordinary and partial differential equations

G Klun - 2021 - iris.sissa.it
The thesis focuses on the search of solutions of nonlinear equations. It is divided in five
chapters and two appendices. The first chapter deals with an extension of the Poincaré-Bohl …

[PDF][PDF] ON INVEXITY AND UNIQUENESS IN THE CALCULUS OF VARIATIONS

M Galewski - Nicholas Copernicus University - tmna.ncu.pl
Existence is obtained with the aid of a direct variational method and presents a
generalization of results given in [8] to the case of possibly nonlinear differential operator …