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A multiplicity result for Hamiltonian systems with mixed periodic-type and Neumann-type boundary conditions (2412.02383v2)
Published 3 Dec 2024 in math.CA
Abstract: We investigate the multiplicity of solutions for a Hamiltonian system coupling two systems associated with mixed boundary conditions. Corresponding to the first system, we impose periodic boundary conditions and assume the twist assumption commonly used for the Poincar\'e--Birkhoff theorem, while for the second one, we consider a two-point boundary conditions of Neumann type.
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