Boundary value problems associated with Hamiltonian systems coupled with positively-(p, q)-homogeneous systems

We study the multiplicity of solutions for a two-point boundary value problem of Neumann type associated with a Hamiltonian system which couples a system with periodic Hamiltonian in the space variable with a second one with positively-( p ,  q )-homogeneous Hamiltonian. The periodic problem is also...

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Bibliographic Details
Published inNonlinear differential equations and applications Vol. 31; no. 3
Main Authors Fonda, Alessandro, Ullah, Wahid
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.05.2024
Springer Nature B.V
Subjects
Analysis
Boundary value problems
Hamiltonian functions
Mathematics
Mathematics and Statistics
Hamiltonian systems
q)-homogeneous systems
Poincaré–Birkhoff theorem
34C25
Periodic solutions
Multiplicity
Positively-(p
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Summary:We study the multiplicity of solutions for a two-point boundary value problem of Neumann type associated with a Hamiltonian system which couples a system with periodic Hamiltonian in the space variable with a second one with positively-( p ,  q )-homogeneous Hamiltonian. The periodic problem is also treated.
ISSN:1021-9722
1420-9004
DOI:10.1007/s00030-024-00925-8